Shadows of CPR black holes and tests of the Kerr metric

Abstract

We study the shadow of the Cardoso-Pani-Rico (CPR) black hole for different values of the black hole spin $a_{\ast }$, the deformation parameters ${\epsilon }_3^t$ and ${\epsilon }_3^r$, and the viewing angle $i$. We find that the main impact of the deformation parameter ${\epsilon }_3^t$ is the change of the size of the shadow, while the deformation parameter ${\epsilon }_3^r$ affects the shape of its boundary. In general, it is impossible to test the Kerr metric, because the shadow of a Kerr black hole can be reproduced quite well by a black hole with non-vanishing ${\epsilon }_3^t$ or ${\epsilon }_3^r$. Deviations from the Kerr geometry could be constrained in the presence of high quality data and in the favorable case of a black hole with high values of $a_{\ast }$ and $i$. However, the shadows of some black holes with non-vanishing ${\epsilon }_3^r$ present peculiar features and the possible detection of these shadows could unambiguously distinguish these objects from the standard Kerr black holes of general relativity.

arXiv comment10 pages, 7 figures. v2: refereed version with minor changes

References in corpus (49)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Viewing the Shadow of the Black Hole at the Galactic Center
• Black Hole Spin in X-Ray Binaries: Observational Consequences
• Apparent shape of super-spinning black holes
• Shadow of a rotating braneworld black hole
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Measuring the Spins of Accreting Black Holes
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Can the supermassive objects at the centers of galaxies be traversable wormholes? The first test of strong gravity for mm/sub-mm VLBI facilities
• Black Holes in Astrophysics
• Black Hole's 1/N Hair
• Constraining the spin and the deformation parameters from the black hole shadow
• Testing Properties of the Galactic Center Black Hole Using Stellar Orbits
• Prospects for Probing the Spacetime of Sgr A* with Pulsars
• Constraining the quadrupole moment of stellar-mass black-hole candidates with the continuum fitting method
• Optical phenomena in brany Kerr spacetimes
• Distinguishing black holes from naked singularities through their accretion disk properties
• Orbital resonances in discs around braneworld Kerr black holes
• A code to compute the emission of thin accretion disks in non-Kerr space-times and test the nature of black hole candidates
• Shape and position of the shadow in the $\delta =2$ Tomimatsu-Sato space-time
• Thin accretion disks in f(R) modified gravity models
• Testing the space-time geometry around black hole candidates with the analysis of the broad K$\alpha$ iron line
• Testing Hořava-Lifshitz gravity using thin accretion disk properties
• Testing the No-Hair Theorem with Observations in the Electromagnetic Spectrum. IV. Relativistically Broadened Iron Lines
• Probing the space-time geometry around black hole candidates with the resonance models for high-frequency QPOs and comparison with the continuum-fitting method
• Constraints on the spacetime geometry around 10 stellar-mass black hole candidates from the disk's thermal spectrum
• On generic parametrizations of spinning black-hole geometries
• Thin accretion disks onto brane world black holes
• Thin accretion disk signatures in dynamical Chern-Simons modified gravity
• Testing the Kerr black hole hypothesis
• Possible observational windows for quantum effects from black holes
• Testing the Kerr-nature of stellar-mass black hole candidates by combining the continuum-fitting method and the power estimate of transient ballistic jets
• Broad K$\alpha$ iron line from accretion disks around traversable wormholes
• K$\alpha$ iron line profile from accretion disks around regular and singular exotic compact objects
• Distinguishing black holes and wormholes with orbiting hot spots
• Testing the nature of the black hole candidate in GRO J1655-40 with the relativistic precession model
• Using iron line reverberation and spectroscopy to distinguish Kerr and non-Kerr black holes
• Measuring the Kerr spin parameter of a non-Kerr compact object with the continuum-fitting and the iron line methods
• Direct imaging rapidly-rotating non-Kerr black holes
• Attempt to find a correlation between the spin of stellar-mass black hole candidates and the power of steady jets: relaxing the Kerr black hole hypothesis
• Testing the Bardeen metric with the black hole candidate in Cygnus X-1
• Can an astrophysical black hole have a topologically non-trivial event horizon?
• Testing the space-time geometry around black hole candidates with the available radio and X-ray data
• Testing the nature of the supermassive black hole candidate in SgrA* with light curves and images of hot spots
• Note on the Cardoso-Pani-Rico parametrization to test the Kerr black hole hypothesis
• Testing a class of non-Kerr metrics with hot spots orbiting SgrA${}^{\ast }$

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