2014
DOI: 10.1103/physrevd.90.047503
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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 specifi… Show more

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Cited by 26 publications
(27 citation statements)
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References 60 publications
(58 reference statements)
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“…It is compared with a set of models in which the spacetime geometry is described by the Cardoso-Pani-Rico metric with only one non-vanishing deformation parameter, namely  is more difficult to constrain from the line profile alone. A similar conclusion is found by Bambi (2014a). It is evident that iron lines are more capable of constraining deformation parameters when the inclination of the reference model i′ is large, since this maximizes light bending effects.…”
Section: Simulationssupporting
confidence: 83%
See 1 more Smart Citation
“…It is compared with a set of models in which the spacetime geometry is described by the Cardoso-Pani-Rico metric with only one non-vanishing deformation parameter, namely  is more difficult to constrain from the line profile alone. A similar conclusion is found by Bambi (2014a). It is evident that iron lines are more capable of constraining deformation parameters when the inclination of the reference model i′ is large, since this maximizes light bending effects.…”
Section: Simulationssupporting
confidence: 83%
“…However, the usual problem with such a test is often strong degeneracy among system parameters, in particular between the parameter measuring deviation from Kerr geometry, and the spin and the inclination angle. The thermal spectrum of thin disks has a simple shape and therefore it is fundamentally more challenging to break such a degeneracy (Bambi 2014a;Kong et al 2014). The iron line profile is potentially more powerful.…”
Section: Introductionmentioning
confidence: 99%
“…Another approach is the study of the thermal component of the spectrum from stellar-mass BHs using the so-called continuum-fitting method [475,483,484], which can provide information about the ISCO location and hence the BH spin [484]. The method can be also used to test the spacetime geometry [476,[480][481][482][485][486][487][488] but is limited by the fact that deviations from the Kerr geometry are typically degenerate with the ISCO properties, e.g. with the spin of the object [473,489].…”
Section: Tests With Accretion Disksmentioning
confidence: 99%
“…has continuous derivatives up to second order at the point r = 1. By direct integration in (4) and then in (3), we obtain…”
Section: A Family Of Compact Black Holesmentioning
confidence: 99%
“…Namely, are they black holes, wormholes, naked singularities, or maybe boson stars? In any of these cases, the observations of bound orbits in the centers of galaxies play a key role for this question [4,5,6,7,8,9,10]). In this paper, we study some properties of bound orbits near black holes in the model of a static, self-gravitating, spherically symmetric scalar field.…”
Section: Introductionmentioning
confidence: 99%