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The asymptotic quasinormal mode spectrum of non-rotating black holes

The asymptotic quasinormal mode spectrum of non-rotating black holes
The asymptotic quasinormal mode spectrum of non-rotating black holes
A conjectured connection to quantum gravity has led to a renewed interest in highly damped black-hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the asymptotic QNMs for both Schwarzschild and Reissner–Nordström black holes. This confirms recent results obtained by Motl and Neitzke, but our analysis fills several gaps left by their discussion. We study the Reissner–Nordström results in some detail, and show that, in contrast to the asymptotic QNMs of a Schwarzschild black hole, the Reissner–Nordström QNMs are typically not periodic in the imaginary part of the frequency. This leads to the charged black hole having peculiar properties which complicate an interpretation of the results in the context of quantum gravity.
0264-9381
1623-1642
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Howls, C.J.
66d3f0f0-376c-4f7a-a206-093935e6c560
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Howls, C.J.
66d3f0f0-376c-4f7a-a206-093935e6c560

Andersson, N. and Howls, C.J. (2004) The asymptotic quasinormal mode spectrum of non-rotating black holes. Classical and Quantum Gravity, 21 (6), 1623-1642. (doi:10.1088/0264-9381/21/6/021).

Record type: Article

Abstract

A conjectured connection to quantum gravity has led to a renewed interest in highly damped black-hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the asymptotic QNMs for both Schwarzschild and Reissner–Nordström black holes. This confirms recent results obtained by Motl and Neitzke, but our analysis fills several gaps left by their discussion. We study the Reissner–Nordström results in some detail, and show that, in contrast to the asymptotic QNMs of a Schwarzschild black hole, the Reissner–Nordström QNMs are typically not periodic in the imaginary part of the frequency. This leads to the charged black hole having peculiar properties which complicate an interpretation of the results in the context of quantum gravity.

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Published date: 2004

Identifiers

Local EPrints ID: 29458
URI: https://eprints.soton.ac.uk/id/eprint/29458
ISSN: 0264-9381
PURE UUID: a4398534-bb7d-4b37-b444-2af22c3cd300
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843
ORCID for C.J. Howls: ORCID iD orcid.org/0000-0001-7989-7807

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Date deposited: 11 May 2006
Last modified: 18 Jul 2019 12:31

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