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.
1623-1642
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Howls, C.J.
66d3f0f0-376c-4f7a-a206-093935e6c560
2004
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), .
(doi:10.1088/0264-9381/21/6/021).
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.
This record has no associated files available for download.
More information
Published date: 2004
Identifiers
Local EPrints ID: 29458
URI: http://eprints.soton.ac.uk/id/eprint/29458
ISSN: 0264-9381
PURE UUID: a4398534-bb7d-4b37-b444-2af22c3cd300
Catalogue record
Date deposited: 11 May 2006
Last modified: 16 Mar 2024 03:13
Export record
Altmetrics
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
