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

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 reflected by a photon sphere diverges logarithmically. We apply our formula to a Reissner-Nordstrom spacetime and Hayward spacetime.

arXiv comment10 pages, 5 figures, minor correction, title changed, accepted for publication in Physical Review D

References in corpus (71)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Formation and evaporation of non-singular black holes
• Schwarzschild black hole lensing
• Gravitational lensing in the strong field limit
• The geometry of photon surfaces
• Strong field limit of black hole gravitational lensing
• Relativistic images of Schwarzschild black hole lensing
• Light ring stability in ultra-compact objects
• Reissner-Nordstrom black hole lensing
• Gravitational Lensing by Black Holes
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• Spacetime perspective of Schwarzschild lensing
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Wormholes as Black Hole Foils
• Gravitational Lensing by Wormholes
• Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Fundamental photon orbits: black hole shadows and spacetime instabilities
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
• Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars
• Constraints on a charge in the Reissner--Nordström metric for the black hole at the Galactic Center
• 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
• A comparison of approximate gravitational lens equations and a proposal for an improved new one
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Strong gravitational lensing by wormholes
• Strong field limit analysis of gravitational retro-lensing
• Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
• Light curves of light rays passing through a wormhole
• Photon Spheres and Sonic Horizons in Black Holes from Supergravity and Other Theories
• A novel gravitational lensing feature by wormholes
• Brane surgery: energy conditions, traversable wormholes, and voids
• Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies
• Shadow of a Naked Singularity without Photon Sphere
• Visual Distortions Near a Neutron Star and Black Hole
• Upper bound on the radii of black-hole photonspheres
• Analytical approach to strong gravitational lensing from ultracompact objects
• Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal
• Gravitational Lensing by Black Holes: a comprehensive treatment and the case of the star S2
• Weak field limit of Reissner-Nordstrom black hole lensing
• Retrolensing by a charged black hole
• Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
• Retrolensing by a wormhole at deflection angles $\pi$ and $3\pi$
• Aspherical Photon and Anti-Photon Surfaces
• On Relativistic Corrections to Microlensing Effects: Applications to the Galactic Black Hole
• Radial accretion flows on static spherically symmetric black holes
• Extension of photon surfaces and their area: Static and stationary spacetimes
• Relationship between High-Energy Absorption Cross Section and Strong Gravitational Lensing for Black Hole
• Area bound for a surface in a strong gravity region
• The weakly perturbed Schwarzschild lens in the strong deflection limit
• Transversely trapping surfaces: Dynamical version
• A Note on Geodesics in Hayward Metric
• Completing characterization of photon orbits in Kerr and Kerr-Newman metrics
• Strong gravitational lensing and black hole quasinormal modes: Towards a semiclassical unified description
• Strong field lensing by Damour-Solodukhin wormhole
• Strong gravitational lensing by a strongly naked null singularity
• Nonlogarithmic divergence of a deflection angle by a marginally unstable photon sphere of the Damour-Solodukhin wormhole in a strong deflection limit
• Stability of null orbits on photon spheres and photon surfaces
• Photon trapping in static axially symmetric spacetime
• Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
• The correspondence between sonic points of ideal photon gas accretion and photon spheres
• Null geodesics and gravitational lensing in a nonsingular spacetime
• How does a collapsing star look?
• Rotating accretion flows in $D$ dimensions: sonic points, critical points and photon spheres
• Photon surfaces in spherically, planar and hyperbolically symmetric spacetimes of D-dimensions: Sonic point/photon sphere correspondence
• Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture

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• Forward Ray Tracing and Hot Spots in Kerr Spacetime
• Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes
• Nondivergent deflection of light around a photon sphere of a compact object
• Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Strong gravitational lensing by a Reissner-Nordström naked singularity with a marginally unstable photon sphere
• Gravitational lensing by two photon spheres in a black-bounce spacetime in strong deflection limits
• Gravitational lensing inside and outside of a marginally unstable photon sphere in a general, static, spherically symmetric, and asymptotically-flat spacetime in strong deflection limits
• Strong-deflection expansion of the deflection angle near a degenerate photon sphere
• Constraints on the $\gamma$-parameter for the vacuum solution of Cotton gravity with geodesics and shadows
• Optical appearance of regularized compact objects without an exterior photon sphere