2014
DOI: 10.1103/physrevd.90.084009
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New parametrization for spherically symmetric black holes in metric theories of gravity

Abstract: We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor expansion in powers of M=r, where M and r are the mass of the black hole and a generic radial coordinate, respectively. Rather, we use a continued-fraction expansion in terms of a compactified radial coordinate. This choice leads to superior convergence properties and allows us to… Show more

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Cited by 207 publications
(247 citation statements)
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References 67 publications
(127 reference statements)
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“…Spacetime is axisymmetric, not spherically symmetric, and if we try to alter by hand the Kerr metric it is difficult to avoid creating a spacetime with pathological features like naked singularities and regions with closed time-like curves. For the time being, there is not yet a standard formalism for testing the Kerr metric, even if some proposals are present in the literature (Johannsen & Psaltis 2011;Cardoso et al 2014;Rezzolla & Zhidenko 2014). In what follows, we adopt the Cardoso-Pani-Rico parametrization (Cardoso et al 2014 { }  (at increasingly high order).…”
Section: Testing the Kerr Paradigmmentioning
confidence: 99%
“…Spacetime is axisymmetric, not spherically symmetric, and if we try to alter by hand the Kerr metric it is difficult to avoid creating a spacetime with pathological features like naked singularities and regions with closed time-like curves. For the time being, there is not yet a standard formalism for testing the Kerr metric, even if some proposals are present in the literature (Johannsen & Psaltis 2011;Cardoso et al 2014;Rezzolla & Zhidenko 2014). In what follows, we adopt the Cardoso-Pani-Rico parametrization (Cardoso et al 2014 { }  (at increasingly high order).…”
Section: Testing the Kerr Paradigmmentioning
confidence: 99%
“…[8][9][10]), and investigate how much observations can constrain such deformations. A second avenue corresponds to attempts of studying generic black-hole spacetimes under some sufficiently broad parametrization scheme, with Schwarzschild and Kerr being particular realizations of the general framework, rather than fiducial solutions [11,12]. These two first approaches may be informative, but have the unsatisfactory feature that the deformed geometries, in general, do not have a clear origin as solutions of any sensible model.…”
Section: Introductionmentioning
confidence: 99%
“…This implies that, at least for the Johannsen and Psaltis's model, the last circular orbit might be larger than the ISCO, because the ISCO (in the usual sense) often refers to the smallest circular orbit that is stable against the radial perturbation. [3,5,11,12,[22][23][24]26] It is left as a future work to study a more general case.…”
Section: Discussionmentioning
confidence: 99%