Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit

A Simpson-Visser spacetime has two non-negative parameters a and m and its metric is correspond with (i) a Schwarzschild metric for a = 0 and m not equal 0, (ii) a regular black hole metric for a < 2m, (iii) a one-way traversable wormhole metric for a = 2m, (vi) a two-way traversable wormhole met...

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Veröffentlicht in:Physical review. D 2021-01, Vol.103 (2), p.1, Article 024033
1. Verfasser: Tsukamoto, Naoki
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Sprache:eng
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Zusammenfassung:A Simpson-Visser spacetime has two non-negative parameters a and m and its metric is correspond with (i) a Schwarzschild metric for a = 0 and m not equal 0, (ii) a regular black hole metric for a < 2m, (iii) a one-way traversable wormhole metric for a = 2m, (vi) a two-way traversable wormhole metric for a > 2m, and (v) an Ellis-Bronnikov wormhole metric for a not equal 0 and m = 0. 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 non-negative parameters of a and m. In a case of a = 3m, two photon spheres and an antiphoton sphere at the throat degenerate into a marginally unstable photonsphere. The deflection angle of the light rays reflected by the marginally unstable photon sphere at the throat diverges nonlogarithmically in the strong deflection limit.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.024033