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

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arxiv 2011.03932 v2 pith:QNRKQ2HJ submitted 2020-11-08 gr-qc

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

classification gr-qc
keywords metricdeflectionphotonspacetimespheregravitationallensinglimit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A Simpson-Visser spacetime has two nonnegative parameters $a$ and $m$ and its metric is correspond with (i) a Schwarzschild metric for $a=0$ and $m\neq0$, (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 $a\neq0$ 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 nonnegative 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 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Three dimensional black bounces in $f(R)$ gravity

    gr-qc 2026-01 conditional novelty 5.0

    Black bounce geometries exist in 2+1D f(R) gravity with scalar-nonlinear electrodynamics matter, including vanishing scalar curvature solutions whose viability is checked via scalaron mass and energy conditions.

  2. On relativistic observables in black bounce spacetimes

    gr-qc 2026-07 conditional novelty 4.0

    Black bounce spacetimes with larger throat parameter α produce enhanced periastron precession, light deflection, and a larger critical impact parameter in the wormhole regime, offering potential observational signatures.