Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Abstract

Circular photon orbit and black hole shadow are significantly important issues in physics and astronomy, and a number of breakthroughs have been witnessed in recent years. Conventionally, the stable and unstable circular photon orbits are obtained using the effective potential of test particles moving in black hole spacetime. In this work, a pure geometric approach is developed to calculate these circular photon orbits and black hole shadow radius. Furthermore, it can be proved that our geometric approach is completely equivalent to the conventional approach based on effective potentials of test particles.

6+5 pages, 3+1 figures, 2+1 tables; V2: major revision; V3: post-published version, some typos in equations are corrected

References in corpus (26)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Calculating black hole shadows: Review of analytical studies
• The geometry of photon surfaces
• Light ring stability in ultra-compact objects
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Gravitational lensing in the Kerr-Randers optical geometry
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Gravitational Lensing by Rotating Wormholes
• Stationary black holes and light rings
• Photon Rings around Kerr and Kerr-like Black Holes
• Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Hidden symmetries, null geodesics, and photon capture in the Sen black hole
• Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem
• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
• Circular orbit of a particle and weak gravitational lensing
• The Jacobi-metric for timelike geodesics in static spacetimes
• Light rings of stationary spacetimes
• Universal properties of the near-horizon optical geometry
• Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect
• Hidden conformal symmetry on the black hole photon sphere

Cited by in corpus (27)

• Black Holes with Multiple Photon Spheres
• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Curvatures, Photon Spheres and Black Hole Shadows
• Observational Appearances of Magnetically Charged Black Holes in Born-Infeld Electrodynamics
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Observational Appearance of a Freely-falling Star in an Asymmetric Thin-shell Wormhole
• Non-commutativity in Hayward spacetime
• Black hole shadow and acceleration bounds for spherically symmetric spacetimes
• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• Shadow of Kottler black hole in the presence of plasma for a co-moving observer
• The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis
• Analysis of a nonlinear electromagnetic generalization of the Reissner-Nordström black hole
• Total light bending in non-asymptotically flat black hole spacetimes
• Gravitational lensing in Brill spacetimes
• Effects of coupling constants on chaos of charged particles in the $Einstein-\AE$ ther theory
• Bounds for Lyapunov exponent of circular light orbits in black holes
• Topological and optical signatures of modified black-hole entropies
• Light rings in static and extremal black holes
• Massive particle surfaces, partial umbilicity and circular orbits
• A General Discussion on Photon Spheres in Different Categories of Spacetimes
• Gravitational Lensing of Euler-Heisenberg Black Hole Surrounded by Perfect Fluid Dark Matter
• On the global Gaussian bending measure and its applications in stationary spacetimes
• Imprints of non-commutativity on charged black holes
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• Massive particle surfaces and black hole shadows from intrinsic curvature
• Gravitational aspects of a new bumblebee black hole