Testing the Kerr black hole hypothesis

Abstract

It is thought that the final product of the gravitational collapse is a Kerr black hole and astronomers have discovered several good astrophysical candidates. While there is some indirect evidence suggesting that the latter have an event horizon, and therefore that they are black holes, a proof that the space-time around these objects is described by the Kerr geometry is still lacking. Recently, there has been an increasing interest in the possibility of testing the Kerr black hole hypothesis with present and future experiments. In this paper, I briefly review the state of the art of the field, focussing on some recent results and work in progress.

Brief review; 15 pages, no figures. v3: references added, some typos corrected

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• Shapes of rotating nonsingular black hole shadows
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• Constraints on the spacetime geometry around 10 stellar-mass black hole candidates from the disk's thermal spectrum
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• Testing the Kerr-nature of stellar-mass black hole candidates by combining the continuum-fitting method and the power estimate of transient ballistic jets
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• A compendium of AGN inclinations with corresponding UV/optical continuum polarization measurements
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• The non-integrability of the Zipoy-Voorhees metric
• Testing the nature of the black hole candidate in GRO J1655-40 with the relativistic precession model
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• Shadows of CPR black holes and tests of the Kerr metric
• Using iron line reverberation and spectroscopy to distinguish Kerr and non-Kerr black holes
• Direct imaging rapidly-rotating non-Kerr black holes
• Measuring the Kerr spin parameter of a non-Kerr compact object with the continuum-fitting and the iron line methods
• Quasinormal modes, shadow and greybody factors of 5D electrically charged Bardeen 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
• Mass and spin of a Kerr black hole in modified gravity and a test of the Kerr black hole hypothesis
• Testing the Bardeen metric with the black hole candidate in Cygnus X-1
• Towards the use of the most massive black hole candidates in AGN to test the Kerr paradigm
• Rotating Ayón-Beato-García black hole as a particle accelerator
• Testing the Kerr Nature of Black Hole Candidates using Iron Line Spectra in the CPR Framework
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• Black Hole Remnants in Hayward Solutions and Noncommutative Effects
• A Symmetric Integrator for non-integrable Hamiltonian Relativistic Systems
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• Testing the nature of the supermassive black hole candidate in SgrA* with light curves and images of hot spots
• Super-spinning compact objects generated by thick accretion disks
• Gravitational perturbations of a Kerr black hole in $f(R)$ gravity
• Properties Of The Classical Action Of Quantum Gravity
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• Regular black holes and the first law of black hole mechanics
• Testing the Kerr black hole hypothesis with the continuum-fitting and the iron line methods: the case of GRS 1915+105
• Testing the Kerr nature of black hole candidates using iron line reverberation mapping in the CPR framework
• Note on the Cardoso-Pani-Rico parametrization to test the Kerr black hole hypothesis
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• Mechanisms Behind the Aschenbach Effect in Non-Rotating Black Hole Spacetime
• Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
• Testing a class of non-Kerr metrics with hot spots orbiting SgrA${}^{\ast }$
• X-ray spectropolarimetric measurements of the Kerr metric
• Electromagnetic tests of horizonless rotating black hole mimickers
• Non-linear effects in EMRI dynamics and their imprints on gravitational waves
• Thermodynamics and phase transition of rotating regular-de Sitter black holes
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• Identifying modified theories of gravity using binary black-hole ringdowns
• Non-Linear Effects in Non-Kerr spacetimes
• A note on the observational evidence for the existence of event horizons in astrophysical black hole candidates
• Constraining the Cardoso-Pani-Rico metric with future observations of SgrA${}^{\ast }$
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• X-ray spectropolarimetric signature of a warped disk around a stellar-mass black hole
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• Collision of Two Rotating Hayward Black Holes
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• Holographic Dual of The Weak Gravity Conjecture
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• Observational features of reflection asymmetric black holes
• Testing Ghasemi-Nodehi-Bambi metric parameters with quasi-periodic oscillations
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• Mind the Resonances: Final stages of accretion into bumpy black holes
• RELXILL_NK: A Black Hole Relativistic Reflection Model for Testing General Relativity
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