Curvature radius and Kerr black hole shadow

Abstract

We consider applications of the curvature radius of a Kerr black hole shadow and propose three new approaches to simultaneously determine the black hole spin and inclination angle of the observer. The first one uses only two symmetric characteristic points, i.e., the top and the bottom points of the shadow, and is the smallest amount of data employed to extract information about spin and inclination angle amongst all current treatments. The second approach shows that only measuring the curvature radius at the characteristic points can also yield the black hole spin and the inclination angle. The observables used in the third approach have large changes to the spin and the inclination angle, which may give us a more accurate way to determine these parameters. Moreover, by modeling the supermassive black hole M87* with a Kerr black hole, we calculate the angular size for these curvature radii of the shadow. Some novel properties are found and analyzed. The results may shine new light on the relationship between the curvature radius and the black hole shadow, and provide several different approaches to test the nature of the black hole through the shadow.

17 pages, 8 figures, and 2 tables

References in corpus (16)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• Apparent shape of super-spinning black holes
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Photon Rings around Kerr and Kerr-like Black Holes
• Fundamental photon orbits: black hole shadows and spacetime instabilities
• Shape and position of the shadow in the $\delta =2$ Tomimatsu-Sato space-time
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole
• Understanding photon sphere and black hole shadow in dynamically evolving spacetimes
• Shadows of CPR black holes and tests of the Kerr metric
• Distorted Local Shadows

Cited by in corpus (94)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Black holes with scalar hair in light of the Event Horizon Telescope
• Silhouette of M87*: A new window to peek into the world of hidden dimensions
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• Shadow of a Spinning Black Hole in an Expanding Universe
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Superradiance evolution of black hole shadows revisited
• QED Effect on Black Hole Shadow
• Shadows of Sgr A${}^{\ast }$ Black Hole Surrounded by Superfluid Dark Matter Halo
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Imprints of Dark Matter on Black Hole Shadows using Spherical Accretions
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Connection Between the Shadow Radius and Quasinormal Modes in Rotating Spacetimes
• Shadow and weak deflection angle of extended uncertainty principle black hole surrounded with dark matter
• Einstein-Æther Gravity in the light of Event Horizon Telescope Observations of M87*
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• Superradiant evolution of the shadow and photon ring of Sgr A${}^{\star }$
• Shadow and quasinormal modes of the Kerr-Newman-Kiselev-Letelier black hole
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results
• A study on black hole shadows in asymptotically de Sitter spacetimes
• Black hole in quantum wave dark matter
• Constraints on Barrow entropy from M87* and S2 star observations
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• On the Size of a Black Hole: The Schwarzschild is the Biggest
• Shadows of the accelerating black holes
• On the Size of Rotating Black Holes
• Shadow Images of a Rotating Dyonic Black Hole with a Global Monopole Surrounded by Perfect Fluid
• Constraints on charged Symmergent black hole from shadow and lensing
• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• The shadow of M87* black hole within rational nonlinear electrodynamics
• Kerr Black hole shadows in Melvin magnetic field with stable photon orbits
• Black holes surrounded by Einstein clusters as models of dark matter fluid
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Rotating dirty black hole and its shadow
• First analytical calculation of black hole shadow in McVittie metric
• Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma
• Chaotic Shadows of Black Holes: A Short Review
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• Silhouettes of invisible black holes
• Continuous phase transition and microstructure of charged AdS black hole with quintessence
• Imprints of the Janis-Newman-Winicour spacetime on observations related to shadow and accretion
• Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks
• Shadow of a charged black hole with scalar hair
• Testing EGB gravity coupled to bumblebee field and black hole parameter estimation with EHT observations
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Gravitational effect of plasma particles on the shadow of Schwarzschild black holes
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• EHT observables as a tool to estimate parameters of supermassive black holes
• Shadows of rotating black holes in plasma environments with aberration effects
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Observational optical constraints of regular black holes
• The observer-dependent shadow of the Kerr black hole
• Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: Grey-body factors, Area spectrum and Shadow radius
• Effect of gravitational wave on shadow of a Schwarzschild black hole
• Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
• Cuspy and fractured black hole shadows in a toy model with axisymmetry
• Light Deflection by Rotating Regular Black Holes with a Cosmological Constant
• Shadows of magnetically charged rotating black holes surrounded by quintessence
• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• Shadow of quantum extended Kruskal black hole and its super-radiance property
• Optical Features of Rotating Black Hole with Nonlinear Electrodynamics
• Jets and Rings in Images of Spinning Black Holes
• Dynamics of null particles and shadow for general rotating black hole
• Deflection Light Behaviors by AdS Black Holes
• Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter
• Shadow Thermodynamics of AdS Black Hole with the Nonlinear Electrodynamics Term
• Shadow and weak deflection angle of a black hole in nonlocal gravity
• Motion of charged particles around a magnetic black hole/topological star with a compact extra dimension
• Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
• Thin accretion disk images of the black hole in symmergent gravity
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Shadow of Kottler black hole in the presence of plasma for a co-moving observer
• The ring-shaped shadow of rotating naked singularity with a complete photon sphere
• Parameter constraints from shadows of Kerr-Newman-dS black holes with cloud strings and quintessence
• Black Hole Shadows in Einstein-Bel-Robinson Gravity
• Hidden symmetries from distortions of the conformal structure
• Optical Signatures of Einstein-Euler-Heisenberg AdS/dS Black Holes in the light of Event Horizon Telescope
• Determining parameters of a spherical black hole with a thin accretion disk by observing its shadow
• Effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity
• Traces of quantum fuzziness on the black hole shadow and particle deflection in the multi-fractional theory of gravity
• The surface geometry and shadow of a Schwarzschild black hole with halo
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• A full waveform model for arbitrarily axis-symmetric black hole mergers
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity
• Massive particle surfaces and black hole shadows from intrinsic curvature
• QED Effects on Kerr Black Hole Shadows immersed in uniform magnetic fields
• Remarks on the black hole shadows in Kerr-de Sitter space times
• Shadow cast by a rotating black hole with anisotropic matter
• Visible shapes of black holes M87* and SgrA*