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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 (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 sa
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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 (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 v
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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 th
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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 (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
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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 (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 (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
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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 (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 stu
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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 (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 (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
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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 g
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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 (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. Remar
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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 (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 doubl
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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 (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 influen
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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 (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 (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
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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 (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 p
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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 (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 (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 r
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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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