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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_05562821_v66_n2_p_Lousto |
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todo:paper_05562821_v66_n2_p_Lousto2023-10-03T15:35:47Z Reconstruction of black hole metric perturbations from the Weyl curvature Lousto, C.O. Whiting, B.F. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Lousto, C.O. Whiting, B.F. 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. |
| format |
JOUR |
| author |
Lousto, C.O. Whiting, B.F. |
| author_facet |
Lousto, C.O. Whiting, B.F. |
| author_sort |
Lousto, C.O. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_05562821_v66_n2_p_Lousto |
| work_keys_str_mv |
AT loustoco reconstructionofblackholemetricperturbationsfromtheweylcurvature AT whitingbf reconstructionofblackholemetricperturbationsfromtheweylcurvature |
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1782027959528325120 |