Gravitational lensing by $k-n$ generalized black-bounce space-times

Fuente: arXiv
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Hauptverfasser: Furtado, C., Moreira, A. L. A., Nascimento, J. R., Petrov, A. Yu., Porfirio, P. J.
Format: Preprint
Veröffentlicht: 2025
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author Furtado, C.
Moreira, A. L. A.
Nascimento, J. R.
Petrov, A. Yu.
Porfirio, P. J.
author_facet Furtado, C.
Moreira, A. L. A.
Nascimento, J. R.
Petrov, A. Yu.
Porfirio, P. J.
contents We study gravitational lensing by $k-n$ generalized black-bounce space-times both in regimes of weak and strong field approximations. These metrics interpolate between regular black holes and one-way or traversable wormholes. First, we investigate the light-like geodesic trajectories and derive an analytical expression for the deflection angle in terms of the bounce parameter in the weak-field gravitational regime. We then turn to the strong-field gravitational regime and display the behavior of the bending angle as a function of both the impact parameter and the bounce parameter. Next, using the lens equations, we analyze how the observables for \textit{Sagittarius} A* behave concerning the bounce parameter. We obtain the shadow's radii for some black-bounce metrics and plot the graph of their sizes, comparing them with the Schwarzschild one.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19920
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational lensing by $k-n$ generalized black-bounce space-times
Furtado, C.
Moreira, A. L. A.
Nascimento, J. R.
Petrov, A. Yu.
Porfirio, P. J.
General Relativity and Quantum Cosmology
We study gravitational lensing by $k-n$ generalized black-bounce space-times both in regimes of weak and strong field approximations. These metrics interpolate between regular black holes and one-way or traversable wormholes. First, we investigate the light-like geodesic trajectories and derive an analytical expression for the deflection angle in terms of the bounce parameter in the weak-field gravitational regime. We then turn to the strong-field gravitational regime and display the behavior of the bending angle as a function of both the impact parameter and the bounce parameter. Next, using the lens equations, we analyze how the observables for \textit{Sagittarius} A* behave concerning the bounce parameter. We obtain the shadow's radii for some black-bounce metrics and plot the graph of their sizes, comparing them with the Schwarzschild one.
title Gravitational lensing by $k-n$ generalized black-bounce space-times
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2504.19920