Affine perturbation series of the deflection angle of a ray near the photon sphere of a Reissner-Nordström black hole

Abstract

We investigate the affine perturbation series of the deflection angle of a ray near the photon sphere of an extreme Reissner-Nordström black hole. We compare the 0th and 1st orders of the affine perturbation series with the deflection angle in a strong deflection limit. We conclude that the 0th order of the affine perturbation series is more accurate than the deflection angle in the strong deflection limit and that we should improve a strong-deflection-limit analysis by using the 0th order of the affine perturbation series.

8 pages, 4 figures, minor changes, accepted for publication in Physical Review D

References in corpus (35)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Calculating black hole shadows: Review of analytical studies
• Relativistic images of Schwarzschild black hole lensing
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Kerr black hole lensing for generic observers in the strong deflection limit
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
• Braneworld black hole gravitational lens: Strong field limit analysis
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Light curves of light rays passing through a wormhole
• Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies
• Upper bound on the radii of black-hole photonspheres
• Analytical approach to strong gravitational lensing from ultracompact objects
• Strong gravitational lensing by Kerr and Kerr-Newman black holes
• Analytical study of higher-order ring images of accretion disk around black hole
• Retrolensing by a charged black hole
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• Light bending and X-ray echoes from behind a supermassive black hole
• The weakly perturbed Schwarzschild lens in the strong deflection limit
• Gravitational lensing by a photon sphere in a Reissner-Nordström naked singularity spacetime in strong deflection limits
• Deflection angle of a light ray reflected by a general marginally unstable photon sphere in a strong deflection limit
• Strong Gravitational Lensing by Sgr A*
• Nonlogarithmic divergence of a deflection angle by a marginally unstable photon sphere of the Damour-Solodukhin wormhole in a strong deflection limit
• Strong gravitational lensing by a strongly naked null singularity
• Gravitational lensing by a Horndeski black hole
• Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
• Relativistic iron lines in accretion disks: the contribution of higher order images in the strong deflection limit
• Iterative solutions for the gravitational lens equation in the strong deflection limit
• Retrolensing by light rays slightly inside and outside of a photon sphere around a Reissner-Nordström naked singularity

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