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

Rezzolla, L., & Zhidenko, A. (2014). New parametrization for spherically symmetric black holes in metric theories of gravity. Physical Review D, 90: 084009. doi:10.1103/PhysRevD.90.084009.

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1407.3086.pdf (Preprint), 470KB
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 Creators:
Rezzolla, Luciano1, Author           
Zhidenko, Alexander, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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 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.

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 Dates: 2014-07-112014-09-252014
 Publication Status: Issued
 Pages: Appendix added for a more detailed comparison; matches version in PRD
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 90 Sequence Number: 084009 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258