Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
Abstract
A Simpson-Visser spacetime has two nonnegative parameters and and its metric is correspond with (i) a Schwarzschild metric for and , (ii) a regular black hole metric for , (iii) a one-way traversable wormhole metric for , (vi) a two-way traversable wormhole metric for , and (v) an Ellis-Bronnikov wormhole metric for and . The spacetime is one of the most useful spacetimes for the purpose of comprehensively understanding gravitational lensing of light rays reflected by a photon sphere of black holes and wormholes. We have investigated gravitational lensing in the Simpson-Visser spacetime in a strong deflection limit in all the nonnegative parameters of and . In a case of , two photon spheres and an antiphoton sphere at the throat degenerate into a marginally unstable photon sphere. The deflection angle of the light rays reflected by the marginally unstable photon sphere at the throat diverges nonlogarithmically in the strong deflection limit.
Keywords
Cite
@article{arxiv.2011.03932,
title = {Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit},
author = {Naoki Tsukamoto},
journal= {arXiv preprint arXiv:2011.03932},
year = {2021}
}
Comments
13 pages, 6 figures, minor correction, references added, accepted for publication in Physical Review D