Shadow cast by a rotating black hole with anisotropic matter

Abstract

We obtain the shadow cast induced by the rotating black hole with an anisotropic matter. A Killing tensor representing the hidden symmetry is derived explicitly. The existence of separability structure implies a complete integrability of the geodesic motion. We analyze an effective potential around the unstable circular photon orbits to show that one side of the black hole is brighter than the other side. Further, it is shown that the inclusion of the anisotropic matter ($K{r}^{2(1-w)}$) has an effect on the observables of the shadow cast. The shadow observables include approximate shadow radius $R_s$, distortion parameter ${\delta }_s$, area of the shadow $A_s$, and oblateness $D_{os}$.

arXiv comment23 pages, 7 figures, references added, typos corrected

References in corpus (72)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
• Measuring Distance and Properties of the Milky Way's Central Supermassive Black Hole with Stellar Orbits
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Trigonometric Parallaxes of High Mass Star Forming Regions: the Structure and Kinematics of the Milky Way
• Viewing the Shadow of the Black Hole at the Galactic Center
• Shadows and strong gravitational lensing: a brief review
• Shadows of Kerr black holes with scalar hair
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Shadow of rotating regular black holes
• Hunting for extra dimensions in the shadow of M87*
• Shadow of a black hole surrounded by dark matter
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• The Structure and Dynamics of the Sub-parsec Scale Jet in M87 Based on 50 VLBA Observations Over 17 Years at 43 GHz
• Shadow of a rotating braneworld black hole
• Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Shapes and Positions of Black Hole Shadows in Accretion Disks and Spin Parameters of Black Holes
• Duality between Electric and Magnetic Black Holes
• Black holes with scalar hair in light of the Event Horizon Telescope
• Can the supermassive objects at the centers of galaxies be traversable wormholes? The first test of strong gravity for mm/sub-mm VLBI facilities
• Optical properties of black hole in the presence of plasma: shadow
• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• The Shadow of a Spherically Accreting Black Hole
• A coordinate-independent characterization of a black hole shadow
• The Shadow of a Rotating Traversable Wormhole
• Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant
• Black Hole Parameter Estimation from Its Shadow
• Black holes, hidden symmetries, and complete integrability
• Black Hole Surrounded by a Dark Matter Halo in the M87 Galactic Center and its Identification with Shadow Images
• GYOTO: a new general relativistic ray-tracing code
• Shadows of Kerr black holes with and without scalar hair
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• Optical phenomena in brany Kerr spacetimes
• BlackHoleCam: fundamental physics of the Galactic center
• Hidden symmetries, null geodesics, and photon capture in the Sen black hole
• On the charge of the Galactic centre black hole
• Concerns regarding the use of black hole shadows as standard rulers
• Measurement of the spin of the M87 black hole from its observed twisted light
• Curvature radius and Kerr black hole shadow
• Black Hole Shadow of Sgr A${}^{\ast }$ in Dark Matter Halo
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Estimating the Parameters of Sgr A*'s Accretion Flow Via Millimeter VLBI
• A Ray-Tracing Algorithm for Spinning Compact Object Spacetimes with Arbitrary Quadrupole Moments. I. Quasi-Kerr Black Holes
• Gravitational Lensing by Spinning Black Holes in Astrophysics, and in the Movie Interstellar
• Light escape cones in local reference frames of Kerr-de Sitter black hole spacetimes and related black hole shadows
• Analytical calculation of black hole spin using deformation of the shadow
• The Event Horizon of M87
• Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
• Detection of intrinsic source structure at ~3 Schwarzschild radii with Millimeter-VLBI observations of SAGITTARIUS A*
• Shadow images of Kerr-like wormholes
• Shadow of a Charged Rotating Non-Commutative Black Hole
• Monitoring the Morphology of M87* in 2009-2017 with the Event Horizon Telescope
• Shadows of the accelerating black holes
• Evolution of black hole shadow in the presence of ultralight bosons
• Influence of an anisotropic matter field on the shadow of a rotating black hole
• A revisit of rotating black hole shadow with astrometric observables
• Inner-most stable circular orbit in Kerr-MOG black hole
• Simple Black Holes with Anisotropic Fluid
• Shadows of rotating Hayward-de Sitter black holes with astrometric observables
• Rotating black holes with an anisotropic matter field
• Event horizon image within black hole shadow
• Scalarized charged black holes in the Einstein-Maxwell-Scalar theory with two U(1) fields
• Probing DAMA/LIBRA in the full parameter space of WIMP effective models of inelastic scattering
• Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory
• Non-vanishing Magnetic Flux through the Slightly-charged Kerr Black Hole
• Geodesic Properties and Orbits in 5-dimensional Hypercylindrical Spacetime
• Geodesic motions in extraordinary string geometry

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