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Journal articles on the topic 'Ellis-Bronnikov wormhole'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

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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2

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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3

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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4

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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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

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

Cameron, Peter. "The Penrose property with a cosmological constant." Classical and Quantum Gravity, April 12, 2022. http://dx.doi.org/10.1088/1361-6382/ac66b7.

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Abstract A spacetime satisfies the non-timelike boundary version of the Penrose property if the timelike future of any point on I<sup>−< contains the whole of I<sup>+<. This property was first discussed for asymptotically flat spacetimes by Penrose, along with an equivalent definition (the finite version). In this paper we consider the Penrose property in greater generality. In particular we consider spacetimes with a non-zero cosmological constant and we note that the two versions of the property are no longer equivalent. In asymptotically AdS spacetimes it is necessary to re-state the property in a way which is more suited to spacetimes with a timelike boundary. We arrive at a property previously considered by Gao and Wald. Curiously, this property was shown to fail in spacetimes which focus null geodesics. This is in contrast to our findings in asymptotically flat and asymptotically de Sitter spacetimes. We then move on to consider some further example spacetimes (with zero cosmological constant) which highlight features of the Penrose property not previously considered. We discuss spacetimes which are the product of a Lorentzian and a compact Riemannian manifold. Perhaps surprisingly, we find that both versions of the Penrose property are satisfied in this product spacetime if and only if they are satisfied in the Lorentzian spacetime only. We also discuss the Ellis-Bronnikov wormhole (an example of a spacetime with more than one asymptotically flat end) and the Hayward metric (an example of a non-singular black hole spacetime).

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23

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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