New parametrization for spherically symmetric black holes in metric theories of gravity

By Luciano Rezzolla, A. Zhidenko. 2014

147 citations recorded by the source corpus.

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 approximate a number of known metric theories with a much smaller set of coefficients. The measure of these coefficients via observations of near-horizon processes can be used to effectively constrain and compare arbitrary metric theories of gravity. Although our attention is here focussed on spherically symmetric black holes, we also discuss how our approach could be extended to rotating black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fe7e7718ab3aaafbf96237f90faa844c3a8d698e

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Citations in the corpus

The current ability to test theories of gravity with black hole shadows (2018, methodology): “88 √ SEFDi SEFDj τ∆ν , (1) where i and j refer to the telescopes in the baseline.”
A coordinate-independent characterization of a black hole shadow (2015, background): “While this approach is reasonable and works well for a black hole such as the Kerr black hole, it is not obvious it will work equally well for black holes in more complex theories of gravity or even in arbitrary metric theories of gravity as those considered by Rezzolla & Zhidenko (2014).”
Testing black hole candidates with electromagnetic radiation (2015, background): “Rezzolla & Zhidenko (2014) and Konoplya et al. (2016) suggested a parametrization that seems to fairly well reproduce some known non-Kerr BH solutions in alternative theories of gravity with a small number of deformation parameters.”
Black Hole Parameter Estimation from Its Shadow (2018, background): “Black hole shadows have been investigated for a parameterized axisymmetric rotating black hole, which generalizes all stationary and axisymmetric black holes in any metric theory of gravity (Rezzolla & Zhidenko 2014; Konoplya et al. 2016; Younsi et al. 2016).”