Deflection angle of a light ray reflected by a general marginally unstable photon sphere in a strong deflection limit

2020/08/31 by Naoki Tsukamoto · 36 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Classical mechanics #Cosmology and Gravitation Theories #Deflection (physics) #Deflection angle #Observable #Optics #Photon #Photon sphere #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Ray #Schwarzschild radius #Spacetime #gr-qc

paper · pdf · doi:10.1103/physrevd.102.104029

published in Physical review. D/Physical review. D. 102(10) (American Physical Society) · 10 pages, 5 figures, minor correction, title changed, accepted for publication in Physical Review D

openalex created_date 2020/09/01 · arxiv created 2020/10/22 · openalex publication_date 2020/11/10 · arxiv updated 2020/11/12 · openalex updated_date 2026/08/05

Abstract

We investigate the deflection angle in a strong deflection limit for a marginally unstable photon sphere in a general asymptotically flat, static and spherically symmetric spacetime under some assumptions to calculate observables. The deflection angle of a light ray reflected by the marginally unstable photon sphere diverges nonlogarithmically while the one for a photon sphere diverges logarithmically. We apply our formula to a Reissner-Nordstr"om spacetime and Hayward spacetime.

Citations

• Upper bound on the radii of black-hole photonspheres
• Light’s bending angle due to black holes: from the photon sphere to infinity
• Visual distortions near a neutron star and black hole
• Wormholes as black hole foils
• Kerr black hole lensing for generic observers in the strong deflection limit
• Gravitational lensing by black holes
• Strong Field Limit of Black Hole Gravitational Lensing
• Gravitational lensing in the strong field limit
• The geometry of photon surfaces
• Schwarzschild black hole lensing
• The gravity field of a particle
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Light-Ring Stability for Ultracompact Objects
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

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• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
• Gravitational lensing by a Bronnikov-Kim wormhole under a weak-field approximation and in a strong deflection limit