Reconstruction of black hole metric perturbations from Weyl curvature - INSPIRE

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Reconstruction of black hole metric perturbations from Weyl curvature

Carlos O. Lousto
(
- Texas U., Brownsville and
- Buenos Aires, CONICET
)
,
Bernard F. Whiting
(
- Florida U.
)

Mar, 2002

7 pages

Published in:

Phys.Rev.D 66 (2002) 024026

e-Print:

gr-qc/0203061 [gr-qc]

DOI:

10.1103/PhysRevD.66.024026

Report number:

UTBRG-2001-03

View in:

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Abstract: (arXiv)

Perturbation theory of rotating black holes is usually described in terms of Weyl scalars

\psi_4

and

\psi_0

, 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

\Psi

in outgoing or ingoing {\it radiation gauges}. In this paper we relate these potentials to what one actually computes in perturbation theory, i.e

\psi_4

and

\psi_0

. 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.

04.25.Nx
04.70.Bw
04.30.Db
black hole
space-time: perturbation
background: Kerr
potential

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