Reconstruction of black hole metric perturbations from the Weyl curvature

Perturbation theory of rotating black holes is usually described in terms of Weyl scalars ψ4 and ψ0, which each satisfy Teukolsky's complex master wave equation and respectively represent outgoing and ingoing radiation. On the other hand metric perturbations of a Kerr hole can be described in t...

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Publicado: 2002
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v66_n2_p_Lousto
http://hdl.handle.net/20.500.12110/paper_05562821_v66_n2_p_Lousto
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spelling paper:paper_05562821_v66_n2_p_Lousto2023-06-08T15:42:30Z Reconstruction of black hole metric perturbations from the Weyl curvature article black hole calculation cosmos mathematical analysis physics theory Perturbation theory of rotating black holes is usually described in terms of Weyl scalars ψ4 and ψ0, which each satisfy Teukolsky's complex master wave equation and respectively represent outgoing and ingoing radiation. On the other hand metric perturbations of a Kerr hole can be described in terms of (Hertz-like) potentials ψ in outgoing or ingoing radiation gauges. In this paper we relate these potentials to what one actually computes in perturbation theory, i.e. ψ4 and ψ0. We explicitly construct these relations in the nonrotating limit, preparatory to devising a corresponding approach for building up the perturbed spacetime of a rotating black hole. We discuss the application of our procedure to second order perturbation theory and to the study of radiation reaction effects for a particle orbiting a massive black hole. © 2002 The American Physical Society. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v66_n2_p_Lousto http://hdl.handle.net/20.500.12110/paper_05562821_v66_n2_p_Lousto
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
black hole
calculation
cosmos
mathematical analysis
physics
theory
spellingShingle article
black hole
calculation
cosmos
mathematical analysis
physics
theory
Reconstruction of black hole metric perturbations from the Weyl curvature
topic_facet article
black hole
calculation
cosmos
mathematical analysis
physics
theory
description Perturbation theory of rotating black holes is usually described in terms of Weyl scalars ψ4 and ψ0, which each satisfy Teukolsky's complex master wave equation and respectively represent outgoing and ingoing radiation. On the other hand metric perturbations of a Kerr hole can be described in terms of (Hertz-like) potentials ψ in outgoing or ingoing radiation gauges. In this paper we relate these potentials to what one actually computes in perturbation theory, i.e. ψ4 and ψ0. We explicitly construct these relations in the nonrotating limit, preparatory to devising a corresponding approach for building up the perturbed spacetime of a rotating black hole. We discuss the application of our procedure to second order perturbation theory and to the study of radiation reaction effects for a particle orbiting a massive black hole. © 2002 The American Physical Society.
title Reconstruction of black hole metric perturbations from the Weyl curvature
title_short Reconstruction of black hole metric perturbations from the Weyl curvature
title_full Reconstruction of black hole metric perturbations from the Weyl curvature
title_fullStr Reconstruction of black hole metric perturbations from the Weyl curvature
title_full_unstemmed Reconstruction of black hole metric perturbations from the Weyl curvature
title_sort reconstruction of black hole metric perturbations from the weyl curvature
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v66_n2_p_Lousto
http://hdl.handle.net/20.500.12110/paper_05562821_v66_n2_p_Lousto
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