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Published: 9 March 2023

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1

Yusupova, Rosaliya M., Ramis Kh Karimov, Ramil N. Izmailov, and Kamal K. Nandi. "Accretion Flow onto Ellis–Bronnikov Wormhole." Universe 7, no. 6 (June 2, 2021): 177. http://dx.doi.org/10.3390/universe7060177.

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Study of accretion onto wormholes is rather rare compared to that onto black holes. In this paper, we consider accretion flow of cosmological dark energy modeled by barotropic fluid onto the celebrated Ellis–Bronnikov wormhole (EBWH) built by Einstein minimally coupled scalar field ϕ, violating the null energy condition. The accreting fluid is assumed to be phantom, quintessence, dust and stiff matter. We begin by first pointing out a mathematical novelty showing how the EBWH can lead to the Schwarzschild black hole under a complex Wick rotation. Then, we analyze the profiles of fluid radial velocity, density and the rate of mass variation of the EBWH due to accretion and compare the profiles with those of the Schwarzschild black hole. We also analyze accretion to the massless EBWH that has zero ADM mass but has what we call nonzero Wheelerian mass (“mass without mass”), composed of the non-trivial scalar field, that shows gravitational effects. Our conclusion is that the mass of SBH due to phantom accretion decreases consistently with known results, while, in contrast, the mass of EBWH increases. Exactly an opposite behavior emerges for non-phantom accretion to these two objects. Accretion to massless EBWH (i.e., to nonzero Wheelerian mass) shares the same patterns as those of the massive EBWH; hence there is no way to distinguish massive and massless cases by means of accretion flow. The contrasting mass variations due to phantom accretion could be a reflection of the distinct topology of the central objects.

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2

Alencar, G., V. B. Bezerra, C. R. Muniz, and H. S. Vieira. "Ellis–Bronnikov Wormholes in Asymptotically Safe Gravity." Universe 7, no. 7 (July 10, 2021): 238. http://dx.doi.org/10.3390/universe7070238.

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In this paper, we investigate the simplest wormhole solution—the Ellis–Bronnikov one—in the context of the asymptotically safe gravity (ASG) at the Planck scale. We work with three models, which employ the Ricci scalar, Kretschmann scalar, and squared Ricci tensor to improve the field equations by turning the Newton constant into a running coupling constant. For all the cases, we check the radial energy conditions of the wormhole solution and compare them with those that are valid in general relativity (GR). We verified that asymptotic safety guarantees that the Ellis–Bronnikov wormhole can satisfy the radial energy conditions at the throat radius, r0, within an interval of values of the latter, which is quite different from the result found in GR. Following this, we evaluate the effective radial state parameter, ω(r), at r0, showing that the quantum gravitational effects modify Einstein’s field equations in such a way that it is necessary to have a very exotic source of matter to generate the wormhole spacetime–phantom or quintessence-like matter. This occurs within some ranges of the throat radii, even though the energy conditions are or are not violated there. Finally, we find that, although at r0 we have a quintessence-like matter, upon growing r, we inevitably came across phantom-like regions. We speculate whether such a phantom fluid must always be present in wormholes in the ASG context or even in more general quantum gravity scenarios.

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3

De Witte, Yoni, Matthieu Boone, Jelle Vlassenbroeck, Manuel Dierick, and Luc Van Hoorebeke. "Bronnikov-aided correction for x-ray computed tomography." Journal of the Optical Society of America A 26, no. 4 (March 19, 2009): 890. http://dx.doi.org/10.1364/josaa.26.000890.

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4

Boone, M., Y. De Witte, M. Dierick, J. Van den Bulcke, J. Vlassenbroeck, and L. Van Hoorebeke. "Practical use of the modified Bronnikov algorithm in micro-CT." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 267, no. 7 (April 2009): 1182–86. http://dx.doi.org/10.1016/j.nimb.2009.01.129.

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5

Novikov, I. D., and A. A. Shatskiy. "Stability analysis of a Morris-Thorne-Bronnikov-Ellis wormhole with pressure." Journal of Experimental and Theoretical Physics 114, no. 5 (May 2012): 801–4. http://dx.doi.org/10.1134/s1063776112040127.

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6

Baskina (Malikova), M. E. "I Take You Back to the Perished Generations: «The Bronnikov Case»." Russkaya Literatura 4 (2019): 234–38. http://dx.doi.org/10.31860/0131-6095-2019-4-234-238.

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7

Bhattacharya, Amrita, and Alexander A. Potapov. "On strong field deflection angle by the massless Ellis–Bronnikov wormhole." Modern Physics Letters A 34, no. 05 (February 20, 2019): 1950040. http://dx.doi.org/10.1142/s0217732319500408.

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Tsukamoto [N. Tsukamoto, Phys. Rev. D 95, 064035 (2017)] developed a method, which is an improvement over that of Bozza [V. Bozza, Phys. Rev. D 66, 103001 (2002)], for calculating light deflection angle in the strong gravity field of a spherically symmetric static spacetime. The method is directly applicable to the massless Ellis–Bronnikov wormhole (EBWH), while Bozza’s method is not applicable. We wish to show that it is still possible to obtain the same deflection angle by applying Bozza’s method but only in an indirect way, that is, first calculate the deflection by the parent massive EBWH and then take its massless limit.

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8

Sharif, M., and Rabia Saleem. "Cardy-Verlinde Formula and Its Self-Gravitational Corrections for Regular Black Holes." Advances in High Energy Physics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/926589.

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We check the consistency of the entropy of Bardeen and Ayón Beato-García-Bronnikov black holes with the entropy of particular conformal field theory via Cardy-Verlinde formula. We also compute the first-order semiclassical corrections of this formula due to self-gravitational effects by modifying pure extensive and Casimir energy in the context of Keski-Vakkuri, Kraus and Wilczek analysis. It is concluded that the correction term remains positive for both black holes, which leads to the violation of the holographic bound.

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9

Kruglov, Sergey. "On a Model of Magnetically Charged Black Hole with Nonlinear Electrodynamics." Universe 4, no. 5 (May 19, 2018): 66. http://dx.doi.org/10.3390/universe4050066.

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The Bronnikov model of nonlinear electrodynamics is investigated in general relativity. The magnetic black hole is considered and we obtain a solution giving corrections to the Reissner-Nordström solution. In this model spacetime at r → ∞ becomes Minkowski’s spacetime. We calculate the magnetic mass of the black hole and the metric function. At some parameters of the model there can be one, two or no horizons. The Hawking temperature and the heat capacity of black holes are calculated. We show that a second-order phase transition takes place and black holes are thermodynamically stable at some range of parameters.

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10

Arsenadze, G., and Z. Osmanov. "Particles on the rotating channels in the wormhole metrics." International Journal of Modern Physics D 26, no. 13 (October 22, 2017): 1750153. http://dx.doi.org/10.1142/s021827181750153x.

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In the Ellis–Bronnikov wormhole (WH) metrics, the motion of a particle along the curved rotating channels is studied. By taking into account a prescribed shape of a trajectory, we derive the reduced 1 + 1 metrics, obtain the corresponding Langrangian of a free particle and analytically and numerically solve the corresponding equations of motion. We have shown that if the channels are twisted and lagged behind rotation, under certain conditions, beads might asymptotically reach infinity, leaving the WH, which is not possible for straight corotating trajectories. The analytical and numerical study is performed for two- and three-dimensional cases and initial conditions of particles are analyzed in the context of possibility of passing through the WH.

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11

Gibbons, G. W. "Black Holes, Cosmology and Extra Dimensions, by Kirill A. Bronnikov and Sergey G. Rubin." Contemporary Physics 54, no. 2 (April 2013): 126–27. http://dx.doi.org/10.1080/00107514.2013.800154.

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12

Darkshevich, Liveriy O., and Vsevolod P. Pervushin. "Chronicle of the Society of Neurologists and Psychiatrists at the Imperial Kazan University of February 25, 1909." Neurology Bulletin XVI, no. 2 (March 14, 2022): 454–59. http://dx.doi.org/10.17816/nb101192.

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Presided over by prof. L. O. Darkshevich with the secretary Dr. V. P. Pervushin. Actions were present. members: prof. V. P. Osipov, N. A. Mislavsky, I. M. Dogel, V. F. Orlovsky, I. A. Chuevsky; Drs. N. A. Donskov, A. V. Favorsky I. A. Veselitsky, A. S. Segel, F. Ya. Kitaev, V. I. Nikolaev, M. A. Chalusov, G. I. Sorokovikov, A S. Sholomovich. Guests: Drs. N. E. Osokin, M. N. Cheboksarov, N. K. Goryaev, V. K. Voroshilov, S. A. Bolberg, I. I. Tsypkin, Shibkov, Lyubenetsky, Nikolskaya, Nikiforova, Bronnikov and up to 100 people predominantly medical students. Real member A.V. Favorsky made a report: A case of syringobulbomyelia (with a demonstration of a patient from the clinic of nervous diseases of I.K.U.).

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13

Darkshevich, Liveriy O., and Vsevolod P. Pervushin. "Chronicle of the Society of Neurologists and Psychiatrists at the Imperial Kazan University of February 25, 1909." Neurology Bulletin XVI, no. 2 (March 14, 2022): 454–59. http://dx.doi.org/10.17816/nb101288.

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Presided over by prof. L. O. Darkshevich with the secretary Dr. V. P. Pervushin. Actions were present. members: prof. V. P. Osipov, N. A. Mislavsky, I. M. Dogel, V. F. Orlovsky, I. A. Chuevsky; Drs. N. A. Donskov, A. V. Favorsky I. A. Veselitsky, A. S. Segel, F. Ya. Kitaev, V. I. Nikolaev, M. A. Chalusov, G. I. Sorokovikov, A S. Sholomovich. Guests: Drs. N. E. Osokin, M. N. Cheboksarov, N. K. Goryaev, V. K. Voroshilov, S. A. Bolberg, I. I. Tsypkin, Shibkov, Lyubenetsky, Nikolskaya, Nikiforova, Bronnikov and up to 100 people predominantly medical students. Real member A.V. Favorsky made a report: A case of syringobulbomyelia (with a demonstration of a patient from the clinic of nervous diseases of I.K.U.).

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14

Blázquez-Salcedo, Jose Luis, Marina-Aura Dariescu, Ciprian Dariescu, Eugen Radu, and Cristian Stelea. "Probing the Ellis-Bronnikov wormhole geometry with a scalar field: Clouds, waves and Q-balls." Physics Letters B 827 (April 2022): 136993. http://dx.doi.org/10.1016/j.physletb.2022.136993.

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15

Fabris, Júlio C., Tales Augusto Oliveira Gomes, and Denis Campos Rodrigues. "Black Hole and Wormhole Solutions in Einstein–Maxwell Scalar Theory." Universe 8, no. 3 (February 27, 2022): 151. http://dx.doi.org/10.3390/universe8030151.

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We classified and studied the charged black hole and wormhole solutions in the Einstein–Maxwell system in the presence of a massless, real scalar field. The possible existence of charged black holes in general scalar–tensor theories was studied in Bronnikov et al., 1999; black holes and wormholes exist for a negative kinetic term for the scalar field. Using a conformal transformation, the static, spherically symmetric possible structures in the minimal coupled system are described. Besides wormholes and naked singularities, only a restricted class of black hole exists, exhibiting a horizon with an infinite surface and a timelike central singularity. The black holes and wormholes defined in the Einstein frame have some specificities with respect to the non-minimal coupling original frame, which are discussed in the text.

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16

Alias, Anuar, and Wan Ahmad Tajuddin Wan Abdullah. "The effects of spatial dynamics on a wormhole throat." Modern Physics Letters A 33, no. 06 (February 28, 2018): 1850036. http://dx.doi.org/10.1142/s0217732318500360.

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Previous studies on dynamic wormholes were focused on the dynamics of the wormhole itself, be it either rotating or evolutionary in character and also in various frameworks from classical to braneworld cosmological models. In this work, we modeled a dynamic factor that represents the spatial dynamics in terms of spacetime expansion and contraction surrounding the wormhole itself. Using an RS2-based braneworld cosmological model, we modified the spacetime metric of Wong and subsequently employed the method of Bronnikov, where it is observed that a traversable wormhole is easier to exist in an expanding brane universe, however it is difficult to exist in a contracting brane universe due to stress–energy tensors requirement. This model of spatial dynamic factor affecting the wormhole throat can also be applied on the cyclic or the bounce universe model.

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17

Javed, Wajiha, Z. Yousaf, and Zunaira Akhtar. "Thermodynamics and glassy phase transition of regular black holes." Modern Physics Letters A 33, no. 16 (May 30, 2018): 1850089. http://dx.doi.org/10.1142/s021773231850089x.

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This paper is aimed to study thermodynamical properties of phase transition for regular charged black holes (BHs). In this context, we have considered two different forms of BH metrics supplemented with exponential and logistic distribution functions and investigated the recent expansion of phase transition through grand canonical ensemble. After exploring the corresponding Ehrenfest’s equation, we found the second-order background of phase transition at critical points. In order to check the critical behavior of regular BHs, we have evaluated some corresponding explicit relations for the critical temperature, pressure and volume and draw certain graphs with constant values of Smarr’s mass. We found that for the BH metric with exponential configuration function, the phase transition curves are divergent near the critical points, while glassy phase transition has been observed for the Ayón–Beato-García–Bronnikov (ABGB) BH in n = 5 dimensions.

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18

Kruglov, Sergey I. "Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics." Universe 5, no. 12 (December 13, 2019): 225. http://dx.doi.org/10.3390/universe5120225.

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A new modified Hayward metric of magnetically charged non-singular black hole spacetime in the framework of nonlinear electrodynamics is constructed. When the fundamental length introduced, characterising quantum gravity effects, vanishes, one comes to the general relativity coupled with the Bronnikov model of nonlinear electrodynamics. The metric can have one (an extreme) horizon, two horizons of black holes, or no horizons corresponding to the particle-like solution. Corrections to the Reissner–Nordström solution are found as the radius approaches infinity. As r → 0 the metric has a de Sitter core showing the absence of singularities, the asymptotic of the Ricci and Kretschmann scalars are obtained and they are finite everywhere. The thermodynamics of black holes, by calculating the Hawking temperature and the heat capacity, is studied. It is demonstrated that phase transitions take place when the Hawking temperature possesses the maximum. Black holes are thermodynamically stable at some range of parameters.

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19

HUSSAIN, IBRAR. "BLACK HOLES AND COLLISION ENERGY IN THE CENTER-OF-MASS FRAME." Modern Physics Letters A 27, no. 12 (April 20, 2012): 1250068. http://dx.doi.org/10.1142/s021773231250068x.

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It is shown that in the background of the Ayòn–Beato–Garcìa–Bronnikov (ABGB) black hole, the center-of-mass (CM) energy of collision for two charged particles falling freely from rest at infinity is infinite at the event horizon if one of the colliding particle has critical charge and the other one has any different value of the charge. For the Einstein–Maxwell-dilaton–axion (EMDA) black hole it is found that the CM energy of collision for two uncharged particles falling freely from rest at infinity remains finite. In the case of Bañados–Teitelboim–Zanelli (BTZ) black hole the CM energy of collision for two uncharged particles falling freely from rest at infinity is infinite at the event horizon if there is no rotation. It is observed that in the case of the extremal rotating BTZ black hole, at the event horizon this CM energy remains finite.

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20

Liu Huiqiang, 刘慧强, 王玉丹 Wang Yudan, 任玉琦 Ren Yuqi, 薛艳玲 Xue Yanling, 和友 He You, 郭瀚 Guo Han, and 肖体乔 Xiao Tiqiao. "Investigation on X-Ray Micro-Computed Tomography Suitable for Organic Compound Samples Based on Modifed Bronnikov Algorithm." Acta Optica Sinica 32, no. 4 (2012): 0434001. http://dx.doi.org/10.3788/aos201232.0434001.

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21

Mustafa, G., S. K. Maurya, and Saibal Ray. "On the Possibility of Generalized Wormhole Formation in the Galactic Halo Due to Dark Matter Using the Observational Data within the Matter Coupling Gravity Formalism." Astrophysical Journal 941, no. 2 (December 1, 2022): 170. http://dx.doi.org/10.3847/1538-4357/ac9b00.

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Abstract In this article, we find the possibility of generalized wormhole formation in the galactic halo due to dark matter using observational data within the matter coupling gravity formalism. Keeping this as a target, we specifically employ f(R, T) gravity with (i) a variational approach concerning the metric, and (ii) the anisotropic source of matter. To understand the features of the wormholes, we thoroughly calculated and analyzed the energy conditions under f(R, T) gravity. We discuss the second embedded wormhole solution, known as the generalized Ellis–Bronnikov spacetime (ultrastatic wormhole model), in terms of the tortoise coordinate. Thereafter we generate and compare different wormhole solutions depending on the parametric values. In the second part of our investigation, we presented dark matter halos and provided interesting features by considering a couple of profiles. For the dark matter halos models, we particularly use the observational data of the M87 galaxy and the Milky Way galaxy.

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22

Izmailov, R. N., and R. F. Lukmanova. "Can Weak Field Lensing Distinguish Between a Naked Singularity, an Ellis-Bronnikov Regular Wormhole and a Black Hole?" Gravitation and Cosmology 26, no. 1 (January 2020): 7–15. http://dx.doi.org/10.1134/s0202289320010089.

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23

Bahamonde, Sebastian, Jorge Gigante Valcarcel, Laur Järv, and Joosep Lember. "Black hole solutions in scalar-tensor symmetric teleparallel gravity." Journal of Cosmology and Astroparticle Physics 2022, no. 08 (August 1, 2022): 082. http://dx.doi.org/10.1088/1475-7516/2022/08/082.

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Abstract Symmetric teleparallel gravity is constructed with a nonzero nonmetricity tensor while both torsion and curvature are vanishing. In this framework, we find exact scalarised spherically symmetric static solutions in scalar-tensor theories built with a nonminimal coupling between the nonmetricity scalar and a scalar field. It turns out that the Bocharova-Bronnikov-Melnikov-Bekenstein solution has a symmetric teleparallel analogue (in addition to the recently found metric teleparallel analogue), while some other of these solutions describe scalarised black hole configurations that are not known in the Riemannian or metric teleparallel scalar-tensor case. To aid the analysis we also derive no-hair theorems for the theory. Since the symmetric teleparallel scalar-tensor models also include f(Q) gravity, we shortly discuss this case and further prove a theorem which says that by imposing that the metric functions are the reciprocal of each other (grr = 1/gtt ), the f(Q) gravity theory reduces to the symmetric teleparallel equivalent of general relativity (plus a cosmological constant), and the metric takes the (Anti)de-Sitter-Schwarzschild form.

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24

Kirillov, A. A., and D. P. Krichevskiy. "Evaluating Possibility of Registering Scattered Gravitational Radiation on Wormholes." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 4 (91) (August 2020): 89–102. http://dx.doi.org/10.18698/1812-3368-2020-4-89-102.

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Possibility of experimental registration of gravitational radiation scattered on wormholes was evaluated. Scattered radiation registration could become the experimental evidence of the wormhole gas theory explaining the dark matter nature. The simplest model of the traversable static spherically symmetric wormhole was used, which is the limiting case for the Bronnikov --- Ellis wormhole. Equations for gravitational wave against the background of non-empty curved space--time were obtained in the gauge, where the trace of a gravitational wave is not equal to zero. It is shown that equation on the trace is reduced to the Klein --- Gordon --- Fock equation. Explicit expressions were obtained for the gravitational wave trace scattering cross section on a wormhole. It was assumed that the gravitational wave amplitude order was equal to its trace order, numerical simulation was carried out, and scattered gravitational radiation intensity and amplitude from wormholes on Earth were estimated. In the multiverse case, when the wormhole throat was leading to another universe, conclusion was made that it was currently impossible to register radiation scattered by wormholes taking into account the LIGO/VIRGO detector sensitivity

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25

Johannes, Bernd, Sergey V. Bronnikov, Juri A. Bubeev, Tatyana I. Kotrovskaya, Daria V. Shastlivtseva, Sarah Piechowski, Hans-Juergen Hoermann, and Jens Jordan. "Operator's Reliability During Spacecraft Docking Training on Board Mir and ISS." Aerospace Medicine and Human Performance 92, no. 7 (July 1, 2021): 541–49. http://dx.doi.org/10.3357/amhp.5745.2021.

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BACKGROUND: The experimental research PILOT on board the space stations aimed to assess cosmonauts expectable reliability in a mission relevant operation, the manual docking of Soyuz or Progress spacecrafts on the space stations Mir and International Space Station (ISS), respectively.METHOD: Therefore, a simulation of the docking of two space apparatuses was used for training and research. The methodological approach is described, taking into consideration the level of performance and the individual effort spent, the psychophysiological costs. In three decades altogether 32 cosmonauts took part.RESULTS: A significant increase of reliability was found from Mir (0.45 scores) to ISS missions (0.51). On ISS the reliability remained stable (0.50 0.1).DISCUSSION: Salnitskis model for the evaluation of operators reliability was further developed and tested, which turned out to be sensitive as well as robust enough for a practical application in this critical operational task.Johannes B, Bronnikov SV, Bubeev JA, Kotrovskaya TI, Shastlivtseva DV, Piechowski S, Hoermann H-J, Jordan J. Operators reliability during spacecraft docking training on board Mir and ISS. Aerosp Med Hum Perform. 2021; 92(7):541549.

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26

Dokuchaev, I. I. "“Cantos” by Ezra Pound in Russian." Voprosy kul'turologii (Issues of Cultural Studies), no. 12 (November 7, 2021): 69 (96)—73 (100). http://dx.doi.org/10.33920/nik-01-2012-07.

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The paper provides a review of the complete translation of one of the key works in the history of world literature, the poem “Cantos” by Ezra Pound, published for the first time in Russian. The translation was done by Andrey Bronnikov, who also prepared a commentary on it and wrote an introductory article. The review shows that Pound's epic is a synthesis of all possible forms of epic — archaic, heroic and lyrical, it is a poem that tells about the eternal confrontation between the beautiful and the high, personified by historical and mythological heroes of different eras in the history of world culture, and the vulgar and ugly, personified a faceless symbol called Uzura (Consumer) by the poet. The key characteristic, thanks to which the poem can be attributed to the genre of the epic, is, in addition to the plot associated with the problem of the eternal originality of this opposition, also the language, filled with facts, quotes and clichés, edited by the epic poet in the same style. English version of the article is available on pp. 96-100 at URL: https://panor.ru/articles/the-cantos-by-ezra-pound-in-russian/66431.html

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27

Boone, M., A. Almeida, Y. De Witte, M. Dierick, JP Remon, C. Vervaet, and L. Van Hoorebeke. "Detection of Very Small Density Fluctuations in Pharmaceutical Samples by Application of the Modified Bronnikov Algorithm on Micro-CT Data." Microscopy and Microanalysis 15, S2 (July 2009): 386–87. http://dx.doi.org/10.1017/s1431927609093192.

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28

Лунг, Кэтрин З. "The Scythian Stag in Contemporary Arts and Craft: Tuva and Abroad." New Research of Tuva, no. 1 (March 17, 2021): 91–106. http://dx.doi.org/10.25178/nit.2021.1.5.

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The article examines the interest in Scythian imagery and motifs in contemporary arts and crafts, both in Tuva and outside Russia, on a surge after the excavation of Arzhan II burial site. As proved by numerous references, the most popular of the Arzhan II finds was the stylized image of the Scythian stag on a golden hair pin. It has since appeared on the photo taken by Russian photographer Andrei Bronnikov, whose main subject is jewelry. Tattoo artists in English-speaking regions have seen an uptick in customers requesting Scythian stag tattoo designs, due in large part to the discovery of the popularly dubbed “Ukok Princess” and increase in interest in prehistoric fantasy media. Russian-speaking fashion designers redefine textile and ornament in the twenty-first century, influenced by the golden accents of the looped stag in their work, at times inventing an embellished narrative of the past. Folk crafters have created costume and jewelry designs for a different world they wish to inhabit, even creating alter-egos and stories that accompany Scythian-inspired pieces. Finally, within Tuva, wood carving continues thanks to trailblazers that promote folk handicrafts through education and archival work. Artists around the world are fascinated by this unique relic of the past and employ the symbol in romantic imaginings of their past and present.

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Zherdiev, Vitalii V. "A.YE. BEIDEMAN’S MURALS IN ST. ALEXANDER NEVSKY CATHEDRAL IN PARIS IN CONNECTION WITH THE CRIMEAN PERIOD OF THE ARTIST’S OEUVRE." Vestnik Tomskogo gosudarstvennogo universiteta. Kul'turologiya i iskusstvovedenie, no. 41 (2021): 149–62. http://dx.doi.org/10.17223/22220836/41/12.

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The article is about the little-known murals in St. Alexander Nevsky Cathedral in Paris (1859– 1861, architect R.I. Kuzmin), painted by Alexander Yegorovich Beideman (1826–1869). The scientific novelty of the results obtained is in the fact that for the first time A. Beideman’s religious works from the Parisian cycle are introduced and placed into scientific circulation. This cycle is master’s most significant preserved religious work and unique in the Orthodox ecclesiastical art of Western Europe of the second half of the 19th century. Although such brilliant masters as E.S. Sorokin, P.S. Sorokin, M.N. Vasilyev and F.A. Bronnikov worked on the creation of the polychrome ensemble of the Parisian cathedral together with Beideman, his murals in Paris became one of the first in the academic period of Russian ecclesiastical art, in which the transition to the traditions of Byzantine iconography was manifested. Beideman painted eighteen images in the lower part of the temple and on the pillars. Images of Our Lady of Akhtyr with St. Mary Magdalene and St. John are in the niche to the left of the central apse; the Deesis with the Virgin and St. John the Baptist is in the niche to the right of the central apse. Images of Christ the Great Bishop, St. Jacob the Apostle, St. John Chrysostom, St. Basil the Great and St. Gregory the Theologian are in the central apse. Images of St. Mitrofan of Voronezh and St. Joseph the Songwriter are in the sacristy. The image of New Testament Trinity is in the conch. Images of Metropolitans of Moscow Peter, Alexius, Jonah, and Philip are on the pillars below the evangelists. The artist avoided a bright palette, working mainly in the ocher-silver gamma, which, along with the frontality and pronounced statics, gave a sense of “incorporeity” to the figures of the saints. The closeness to the traditional iconography was given by the monumental architectonics of the flowing robes and the almost iconographic austerity of the faces. But, nevertheless, there is a big difference in the style solution of Beideman’s paintings in the Parisian cathedral compare to his easel and monumental works of different years. Especially comparing to Beideman’s watercolor etudes for the murals in the Holy Cross Exaltation Church in Livadiya (architect I.A. Monighetti) and St. Olga church of in Mikhailovka near Strelna (architect D.I. Grimm). The author of the article comes to the conclusion, based on the field research materials, his own restoration and research experience and the comparison of Beideman’s surviving works, in particular, in Livadiya, that the painting in the Parisian cathedral could have been somewhat modified over time. But the artist’s conscious stylistic manner is also possible. The chronology of Beideman’s creative path, the exact period of his work in Paris, has been clarified in comparison with the period of his work in the Livadiya church in Crimea.

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30

Zavrazhnov, Alexander Yu, Alexander V. Naumov, Ekaterina N. Malygina, and Andrew V. Kosyakov. "Давление насыщенного пара монохлорида индия по данным спектрофотометрии и нуль -манометрии." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 21, no. 1 (March 6, 2019): 60–71. http://dx.doi.org/10.17308/kcmf.2019.21/717.

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Измерены спектры поглощения пара монохлорида индия, находящегося в состояниях насыщенного и ненасыщенного пара относительно расплава InCl в присутствии расплава металлического индия. Спектры исследованы в интервале длин волн 200 – 400 nm и диапазоне температур 225 – 850 °C. Показано, что в этих условиях пар состоит из молекул InCl и в пределах чувствительности эксперимента не содержит других молекулярных форм хлоридов индия. В ходе нуль-манометрического эксперимента найдена температурная зависимость ln pInCl = = – A/T + b давления насыщенного пара в трехфазном равновесии LIn – LInCl – V, параметры которой составили: A = – 10255 ± 69 К, b = 10,95 ± 0.08 (давление – относительно стандартного 1 atm). Показано, что угловой коэффициент A хорошо согласуется с угловым коэффициентом температурной зависимости коэффициента поглощения ln Tk() = – A/T + B() при различных длинах волн. Это позволяет рассматривать высокотемпературную спектрофотомерию пара как альтернативу прямому манометрическому эксперименту. При сопоставлении манометрических и спектрофотометрических данных определены значения молярного коэффициента экстинкции InCl в ненасыщенном паре для максимумов полос поглощения. Найдено, что этот коэффициент слабо линейно зависит от температуры, убывая или возрастая на разных длинах волн. ИСТОЧНИК ФИНАНСИРОВАНИЯ Работа выполнена при финансовой поддержке РФФИ, проект 18-33-00900-мол-а. ЛИТЕРАТУРА Sen D., Heo N., Sef K. Phys. Chem. C, 2012, vol. 116, no. 27, pp. 14445–14453. https://doi.org/10.1021/jp303699u Kitsinelis S., Zissis G., Fokitis E. Physics D: Appl. Phys., 2009, vol. 42, p. 045209 (8 pp). https://doi.org/10.1088/0022-3727/42/4/045209 Hayashi D., Hilbig R., Körber A., et al. Phys. Letters, 2010, vol. 96, p. 061503. https://doi.org/10.1063/1.3318252 Binnewies M., Schmidt M., Schmidt P. Anorg. Allg. Chem., 2017, vol. 643, pp. 1295–1311. https://doi.org/10.1002/zaac.201700055 Zavrazhnov A. Y., Turchen D. N., Naumov A. V., Zlomanov V. P. Phase Equilibria., 2003, vol. 24, no. 4, pp. 330-339. https://doi.org/10.1361/105497103770330316 Fedorov P. I., Akchurin R. Kh. Indium. Moscow, Nauka Publ., 2000, 276 p. (in Russ.) Zavrazhnov A. Yu., Naumov A. V., Pervov V. S., Riazhskikh M. V. Thermochimica Acta, 2012, vol. 532, pp. 96–102. https://doi.org/10.1016/j.tca.2010.10.004 Zavrazhnov A. Yu., Naumov A. V., Sergeeva A. V., Sidei V. I. Inorganic Materials, 2007, vol. 43, no. 11, pp. 1167–1178. https://doi.org/10.1134/s0020168507110039 Zavrazhnov A. Yu, Kosyakov A. V, Sergeeva A. V., Berezin S. S. Condensed Matter and Interphases, vol. 17, no. 4, pp. 417 – 436. URL: https://journals.vsu.ru/kcmf/article/view/87/190 (in Russ.) Brebrick R. F. Phase Equilibria and Diffusion, 2005, vol. 26 no. 1, pp. 20 – 21. https://doi.org/10.1007/s11669-005-0054-z Kuniga Y., Hosaka M. Cryst. Growth, 1975, vol. 28, pp. 385–391. https://doi.org/10.1016/0022-0248(75)90077-9 Froslie H. M., Winans J. G. Rev., 1947, vol. 72, iss. 6, pp. 481–491. https://doi.org/10.1103/physrev.72.481 Jones W. E., McLean T. D. Molecular Spectroscopy, 1991, vol. 150, iss. 1, pp. 195-200. https://doi.org/10.1016/0022-2852(91)90202-l Vempati S. N., Jones W. E. Molecular Spectroscopy, vol. 132, iss. 2, pp. 458–466. https://doi.org/10.1016/0022-2852(88)90339-6 Kunia Y., Hosada S., Hosuka M. Denki Kagaku – Technical Paper, 1974, vol. 42, pp. 20–25. Robert C. Phys. Acta, 1936, vol. 9, pp. 405–436. Fedorov P. I., Mokhosoyev M. V. Gallium, Indium and Thallium Chemistry. Novosibirsk, Nauka Publ., 1977, 224 p. (in Russ.) Dritz M. E., Budberg P. ., Burkhanov G. S., et al. Properties of the Elements. Handbook, ed. by Dritz M. E. Moscow, Metallurgia Publ., 1985, 672 p. (in Russ.) Bronnikov A. D., Valilevskaya I., Niselson L. A. Izv. AN. SSSR. Metally, 1974, no. 4, pp. 54–57. (in Russ.) Zavrazhnov A. Yu. Doct. chem. sci. Voronezh, 2004, 340 p. Zavrazhnov A. Yu. Russian Journal of Inorganic Chemistry, 2003, vol. 48, no. 10, pp. 1577–1590. (in Russ.) Brebrick R. F., Su C.-H. Phase Equilibria, 2002, vol. 23, 2002, pp. 397–408. https://doi.org/10.1361/105497102770331343 Suvorov A. V. Thermodynamicheskaya chimia paroobraznogo sostoyania [Thermodynamic Chemistry Vapor State]. Leningrad, Chimia Publ., 1970, 208 p. (in Russ.)

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31

Huang, Hyat, Hong Lu, and Jinbo Yang. "Bronnikov-like wormholes in Einstein-scalar gravity." Classical and Quantum Gravity, July 19, 2022. http://dx.doi.org/10.1088/1361-6382/ac8266.

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Abstract In this paper, we analyse the global structure of the Bronnikov wormhole, which is the most general spherically-symmetric and static solution in Einstein gravity coupled to a free massless phantom scalar. We then introduce a scalar potential and construct a large class of exact solutions that can be viewed as generalizations of the Bronnikov wormhole. We study the global structure and classify the parameters of these new wormholes. For suitable parameters, some are regular black holes with a bouncing de Sitter spacetime inside the event horizon.

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32

Kar, Sayan. "Curious variant of the Bronnikov-Ellis spacetime." Physical Review D 105, no. 2 (January 4, 2022). http://dx.doi.org/10.1103/physrevd.105.024013.

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33

de Souza, T. F., A. C. A. Ramos, R. N. Costa Filho, and J. Furtado. "Generalized Ellis-Bronnikov bilayer graphene wormholelike surface." Physical Review B 106, no. 16 (October 28, 2022). http://dx.doi.org/10.1103/physrevb.106.165426.

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34

Shchigolev, V. K. "Exact solutions to the null-geodesics in Ellis–Bronnikov wormhole spacetime via (G′/G)-expansion method." Modern Physics Letters A, August 5, 2022. http://dx.doi.org/10.1142/s0217732322501243.

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In this paper, the [Formula: see text]-expansion method is used to obtain two certain classes of one-parameter exact solutions to the null-geodesics in Ellis–Bronnikov wormhole spacetime. This method has been developed as an effective technique to construct exact analytical solutions for some kind of nonlinear evolution equations and nonlinear partial derivative equations (PDE). At the first stage of this method, a nonlinear PDE is transformed into nonlinear ordinary derivative equation (ODE) of a polynomial form. Therefore, if we initially have a nonlinear ODE of a polynomial form, say, the geodesic equation, then sometimes its solutions can be obtained following to the procedure of [Formula: see text]-expansion method. Here, this method made it possible to obtain some classes of exact analytical solutions of null-geodesic equations in the metric of Ellis–Bronnikov wormholes.

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35

Sharma, Vivek, and Suman Ghosh. "Geodesic congruences in 5D warped Ellis–Bronnikov spacetimes." European Physical Journal Plus 137, no. 8 (August 2022). http://dx.doi.org/10.1140/epjp/s13360-022-03086-8.

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36

Sokoliuk, Oleksii, Sanjay Mandal, P. K. Sahoo, and Alexander Baransky. "Generalised Ellis–Bronnikov wormholes in f(R) gravity." European Physical Journal C 82, no. 4 (April 2022). http://dx.doi.org/10.1140/epjc/s10052-022-10249-5.

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AbstractIn this manuscript, we construct generalized Ellis–Bronnikov wormholes in the context of f(R) modified theories of gravity. We consider that the matter driving the wormhole satisfies the energy conditions so that it is the effective energy–momentum tensor containing the higher-order derivatives of curvature terms that violate the null energy condition. Thus, the gravitational fluid is interpreted by the higher-order derivatives of curvature terms to represent the wormhole geometries and is fundamentally different from its counter representation in general relativity. In particular, we explore the wormhole geometries by presuming various well-known forms of Lagrangian f(R). In addition, for the seek of completeness, we discuss modified Tolman–Oppenheimer–Volkov, volume integral quantifier, and total gravitational energy.

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37

Nilton, M., J. Furtado, G. Alencar, and R. R. Landim. "Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity." Annals of Physics, December 2022, 169195. http://dx.doi.org/10.1016/j.aop.2022.169195.

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38

Sharma, Vivek, and Suman Ghosh. "Geodesics in generalised Ellis–Bronnikov spacetime embedded in warped 5D background." European Physical Journal C 82, no. 8 (August 13, 2022). http://dx.doi.org/10.1140/epjc/s10052-022-10682-6.

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AbstractWe study the particle trajectories in the recently proposed five dimensional warped (generalized) Ellis–Bronnikov spacetime (5D-WGEB) (which does not require exotic matter) as well as it’s four dimensional counterpart (4D-GEB) in detail and conduct a comparative study. Analytical approach provides conditions which determines three types of trajectories (trapped, returning and crossing) for both 4D and 5D spacetimes. Notably in 5D geometry existence of trapped trajectories become highly sensitive to the initial conditions. We have solved the timelike geodesic equations numerically and presented the trajectories graphically along with corresponding geodesic potentials. We thus distinguished the roles of the so-called wormhole parameter and the warping factor regarding their effects on the trajectories and embedding as such. Interestingly, the 5D-WGEB model shows the localization of massive particles around the location of the brane for growing warp factor and runaway trajectories for decaying warp factor.

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39

Cremona, Francesco, Francesca Pirotta, and Livio Pizzocchero. "On the linear instability of the Ellis–Bronnikov–Morris–Thorne wormhole." General Relativity and Gravitation 51, no. 1 (January 2019). http://dx.doi.org/10.1007/s10714-019-2501-x.

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Dutta Roy, Poulami, S. Aneesh, and Sayan Kar. "Revisiting a family of wormholes: geometry, matter, scalar quasinormal modes and echoes." European Physical Journal C 80, no. 9 (September 2020). http://dx.doi.org/10.1140/epjc/s10052-020-8409-5.

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AbstractWe revisit a family of ultra-static Lorentzian wormholes which includes Ellis–Bronnikov spacetime as a special case. We first show how the required total matter stress energy (which violates the local energy conditions) may be split into a part due to a phantom scalar and another extra piece (which vanishes for Ellis–Bronnikov) satisfying the Averaged Null Energy Condition (ANEC) along radial null geodesics. Thereafter, we examine the effective potential for scalar wave propagation in a general setting. Conditions on the metric function, for which the effective potential may have double barrier features are written down and illustrated (using this class of wormholes). Subsequently, using numerous methods, we obtain the scalar quasinormal modes (QNMs). We note the behaviour of the QNMs as a function of n (the metric parameter) and $$b_0$$ b 0 (the wormhole throat radius). Thus, the shapes and sizes of the wormholes, governed by the metric parameter n and the throat radius $$b_0$$ b 0 are linked to the variation and the values of the QNMs. Finally, we demonstrate how, for large n, the time domain profiles exhibit, expectedly, the occurence of echoes. In summary, our results suggest that this family of wormholes may indeed be used as a template for further studies on the gravitational wave physics of exotic compact objects.

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41

Sharma, Vivek, and Suman Ghosh. "Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions." European Physical Journal C 81, no. 11 (November 2021). http://dx.doi.org/10.1140/epjc/s10052-021-09789-z.

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AbstractEllis–Bronnikov (EB) wormholes require violation of null energy conditions at the ‘throat’. This problem was cured by a simple modification of the ‘shape function’, which introduces a new parameter $$m\ge 2$$ m ≥ 2 ($$m=2$$ m = 2 corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.

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42

Volkov, Mikhail S. "Stationary generalizations for the Bronnikov-Ellis wormhole and for the vacuum ring wormhole." Physical Review D 104, no. 12 (December 21, 2021). http://dx.doi.org/10.1103/physrevd.104.124064.

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43

Soares, A. R., R. L. L. Vitória, and H. Aounallah. "On the Klein–Gordon oscillator in topologically charged Ellis–Bronnikov-type wormhole spacetime." European Physical Journal Plus 136, no. 9 (September 2021). http://dx.doi.org/10.1140/epjp/s13360-021-01965-0.

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44

Ahmed, Faizuddin. "Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov-type wormhole." Europhysics Letters, February 10, 2023. http://dx.doi.org/10.1209/0295-5075/acbb21.

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Abstract In this paper, we study the quantum dynamics of non-relativistic particles in the background of a topological chagred Ellis-Bronnikov-type wormhole space-time. We derived the radial wave equation and obtain the eigenvalue solution through the confluent Heun equation. Afterwards, we study the harmonic oscillator problem in the same wormhole background and solve the wave equation using the same technique. In both cases, the ground state energy level $E_{1,l}$ and the wave function $ψ_{1,l}$ are presented. Finally, we analyze the results and show that the eigenvalue solutions are influenced by the topological defect parameter α and the wormhole throat radius a = const and get them modified.

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45

Javed, Wajiha, Muhammad Bilal Khadim, and Ali Övgün. "Weak gravitational lensing by Bocharova–Bronnikov–Melnikov–Bekenstein black holes using Gauss–Bonnet theorem." European Physical Journal Plus 135, no. 7 (July 2020). http://dx.doi.org/10.1140/epjp/s13360-020-00619-x.

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46

Moussa, Abbad, Houcine Aounallah, Prabir Rudra, and Faizuddin Ahmed. "Klein–Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis–Bronnikov-type Wormhole." International Journal of Geometric Methods in Modern Physics, December 30, 2022. http://dx.doi.org/10.1142/s0219887823501025.

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47

Bronnikov, Kirill A., Vinícius A. G. Barcellos, Laura P. de Carvalho, and Júlio C. Fabris. "The simplest wormhole in Rastall and k-essence theories." European Physical Journal C 81, no. 5 (May 2021). http://dx.doi.org/10.1140/epjc/s10052-021-09164-y.

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AbstractThe geometry of the Ellis–Bronnikov wormhole is implemented in the Rastall and k-essence theories of gravity with a self-interacting scalar field. The form of the scalar field potential is determined in both cases. A stability analysis with respect to spherically symmetric time-dependent perturbations is carried out, and it shows that in k-essence theory the wormhole is unstable, like the original version of this geometry supported by a massless phantom scalar field in general relativity. In Rastall’s theory, it turns out that a perturbative approach reveals the same inconsistency that was found previously for black hole solutions: time-dependent perturbations of the static configuration prove to be excluded by the equations of motion, and the wormhole is, in this sense, stable under spherical perturbations.

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48

Aounallah, H., A. R. Soares, and R. L. L. Vitória. "Scalar field and deflection of light under the effects of topologically charged Ellis–Bronnikov-type wormhole spacetime." European Physical Journal C 80, no. 5 (May 2020). http://dx.doi.org/10.1140/epjc/s10052-020-7980-0.

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49

Tsukamoto, Naoki. "Gravitational lensing by a Bronnikov-Kim wormhole under a weak-field approximation and in a strong deflection limit." Physical Review D 105, no. 6 (March 7, 2022). http://dx.doi.org/10.1103/physrevd.105.064013.

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50

He, Jinhong, Qianchuan Wang, Qiyue Hu, Li Feng, and Junji Jia. "Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes." Classical and Quantum Gravity, February 9, 2023. http://dx.doi.org/10.1088/1361-6382/acbade.

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Abstract Using a perturbative technique, in this work we study the deflection of null and timelike signals in the extended Einstein-Maxwell spacetime, the Born-Infeld gravity and the charged Ellis-Bronnikov (CEB) spacetime in the weak field limit. The deflection angles are found to take a (quasi-)series form of the impact parameter, and automatically takes into account the finite distance effect of the source and observer. The method is also applied to find the deflections in CEB spacetime with arbitrary dimension. It's shown that to the leading non-trivial order of the deflection in some $n$-dimensional spacetimes is of the order $\mathcal{O}(M/b)^{n-3}$. We then extended the method to spacetimes that are asymptotically non-flat and studied the deflection in a nonlinear electrodynamical scalar theory. The deflection angle in such asymptotically non-flat spacetimes at the trivial order is found to be not $\pi$ anymore. In all these cases, the perturbative deflection angles are shown to agree with numerical results extremely well. The effects of some nontrivial spacetime parameters as well as the signal velocity on the deflection angles are analyzed.

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