Note on the Cardoso-Pani-Rico parametrization to test the Kerr black hole hypothesis

Abstract

The construction of a generic parametrization to describe the spacetime geometry around astrophysical black hole candidates is an important step to test the Kerr black hole hypothesis. In the last few years, the Johannsen-Psaltis metric has been the most common framework to study possible deviations from the Kerr solution with present and near future observations. Recently, Cardoso, Pani and Rico have proposed a more general parametrization. The aim of the present paper is to study this new metric in a specific context, namely the thermal spectrum of geometrically thin and optically thick accretion disks. The most relevant finding is that the spacetime geometry around objects that look like very fast-rotating Kerr black holes may still have large deviations from the Kerr solution. This was not the case with the Johannsen-Psaltis metric, which means the latter was missing an important class of non-Kerr spacetimes.

5 pages, 3 figures. v2: a few typos corrected

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Cited by in corpus (7)

• Testing the black hole "no-hair" hypothesis
• Constraints on the spacetime geometry around 10 stellar-mass black hole candidates from the disk's thermal spectrum
• 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
• Iron K$\alpha$ line of boson stars
• Constraining the Cardoso-Pani-Rico metric with future observations of SgrA${}^{\ast }$
• Attempt to explain black hole spin in X-ray binaries with new physics