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Late-time decay of scalar perturbations outside rotating black holes

Late-time decay of scalar perturbations outside rotating black holes
Late-time decay of scalar perturbations outside rotating black holes
We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed r), at future null-infinity, and along the event horizon (EH). In all three asymptotic regions we find a power-law decay. We show that the power indices describing the decay of the various modes at fixed r differ from the corresponding Schwarzschild values. Also, the scalar field oscillates along the null generators of the EH (with advanced-time frequency proportional to the mode's magnetic number m).
0031-9007
4388-4391
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64

Barack, Leor and Ori, Amos (1999) Late-time decay of scalar perturbations outside rotating black holes. Physical Review Letters, 82 (22), 4388-4391. (doi:10.1103/PhysRevLett.82.4388).

Record type: Article

Abstract

We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed r), at future null-infinity, and along the event horizon (EH). In all three asymptotic regions we find a power-law decay. We show that the power indices describing the decay of the various modes at fixed r differ from the corresponding Schwarzschild values. Also, the scalar field oscillates along the null generators of the EH (with advanced-time frequency proportional to the mode's magnetic number m).

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Published date: May 1999
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Identifiers

Local EPrints ID: 48005
URI: http://eprints.soton.ac.uk/id/eprint/48005
DOI: doi:10.1103/PhysRevLett.82.4388
ISSN: 0031-9007
PURE UUID: 16b116d1-802c-44c7-b4e6-0108d06ae3f2
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 20 Aug 2007
Last modified: 16 Mar 2024 03:41

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Author: Leor Barack ORCID iD
Author: Amos Ori

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