Shadows of parametrized axially symmetric black holes allowing for separation of variables

Abstract

Metric of axially symmetric asymptotically flat black holes in an arbitrary metric theory of gravity can be represented in the general form which depends on infinite number of parameters. We constrain this general class of metrics by requiring the existence of additional symmetries, which lead to the separation of variables in the Hamilton-Jacobi and Klein-Gordon equations, and show that once the metric functions change sufficiently moderately in some region near the black hole, the black-hole shadow depends on a few deformation parameters only. We analyze the influence of these parameters on the black-hole shadow. We also show that the shadow of the rotating black hole in the Einstein-dilaton-Gauss-Bonnet theory is well approximated if the terms violating the separation of variables are neglected in the metric.

9 pages, 7 figures

References in corpus (21)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Shadow of a black hole surrounded by dark matter
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• Shadows of Einstein-dilaton-Gauss-Bonnet black holes
• Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Understanding photon sphere and black hole shadow in dynamically evolving spacetimes
• Shadow cast by a rotating charged black hole in quintessential dark energy
• Quasinormal modes of Dirac field in the Einstein-dilaton-Gauss-Bonnet and Einstein-Weyl gravities
• Constraining the tidal charge of brane black holes using their shadows
• An analytical approximation for the Einstein-dilaton-Gauss-Bonnet black hole metric
• Influence of an anisotropic matter field on the shadow of a rotating black hole
• Rotating black holes without ${\mathbb{Z}}_2$ symmetry and their shadow images
• Accurate mapping of spherically symmetric black holes in a parameterised framework
• Can a light ray distinguish charge of a black hole in nonlinear electrodynamics?
• Exact theory for the Rezzolla-Zhidenko metric and self-consistent calculation of quasinormal modes
• Scale-dependent slowly rotating black holes with flat horizon structure
• Shadow of the magnetically and tidally deformed black hole
• Can shadows connect black hole microstructures?
• Shadow cast by a rotating black hole with anisotropic matter

Cited by in corpus (52)

• Calculating black hole shadows: Review of analytical studies
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Light rings and shadows of static black holes in effective quantum gravity
• Shadow and quasinormal modes of the Kerr-Newman-Kiselev-Letelier black hole
• Black Hole Images as Tests of General Relativity: Effects of Spacetime Geometry
• Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
• Constraints on Barrow entropy from M87* and S2 star observations
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Black hole surrounded by the pseudo-isothermal dark matter halo
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• First few overtones probe the event horizon geometry
• Kerr-MOG-(A)dS black hole and its shadow in scalar-tensor-vector gravity theory
• Shadow of slowly rotating Kalb-Ramond black holes
• Light propagation in a plasma on an axially symmetric and stationary spacetime: Separability of the Hamilton-Jacobi equation and shadow
• Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
• Blandford-Znajek mechanism in the general stationary axially-symmetric black-hole spacetime
• Gravitational effect of plasma particles on the shadow of Schwarzschild black holes
• Shadows of rotating Einstein-Maxwell-dilaton black holes surrounded by a plasma
• Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes
• Quasinormal ringing of general spherically symmetric parametrized black holes
• Rotating black hole mimicker surrounded by the string cloud
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
• Shadows and weak gravitational lensing by the black hole in Einstein-Maxwell-scalar theory
• Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons
• Harvesting energy driven by Comisso-Asenjo process from Kerr-MOG black holes
• Observational Signatures: Shadow cast by the effective metric of photons for black holes with rational non-linear electrodynamics
• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Toward General-Relativistic Magnetohydrodynamics Simulations in Stationary Non-Vacuum Spacetimes
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Black Hole Shadow with Soft Hair
• Time Evolution of Black Hole Perturbations in Quadratic Gravity
• Modeling the black holes surrounded by a dark matter halo in the galactic center of M87
• Dynamics of null particles and shadow for general rotating black hole
• Chaotic photon orbits and shadows of a non-Kerr object described by the Hartle-Thorne spacetime
• Overtones' outburst of asymptotically AdS black holes
• Slowly-rotating compact objects: the nonintegrability of Hartle-Thorne particle geodesics
• Gravitational lensing by a stable rotating regular black hole
• Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
• Spacetime Measurements with the Photon Ring
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Deflection and gravitational lensing with finite distance effect in the strong deflection limit in stationary and axisymmetric spacetimes
• Remarks on the light ring images and the optical appearance of hairy black holes in Einstein-Maxwell-dilaton gravity
• Nondivergent deflection of light around a photon sphere of a compact object
• New rotating Lorentzian wormhole spacetime
• A First-Order Eikonal Framework for Quasinormal Modes, Shadows, Strong Lensing, and Grey-Body Factors in a Scalarized Black-Hole Metric
• Shadow of Kerr black hole surrounded by a cloud of strings in Rastall gravity and constraints from M87*
• Observational constraints on the Kerr and its several single-parameter modified spacetimes using quasi-periodic oscillation data
• Gravitational Black Hole Shadow Spectroscopy
• Shadows cast by a class of rotating black bounces with an anisotropic fluid
• Shadow of rotating black holes with consistent thermodynamics
• Photon region boundary for stationary axisymmetric black holes