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Perturbative calculation of quasi-normal modes of Schwarzschild black holes

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Suphot Musiri1 and George Siopsis2

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LETTER TO THE EDITOR

We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by Motl and Neitzke. We obtain an explicit expression for the first-order correction and arbitrary spin. Our results are in agreement with the results from WKB and numerical analyses in the case of scalar and gravitational waves.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83C57 Black holes

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Dates

Issue 24 (21 December 2003)

Received 2 September 2003

Published 3 November 2003



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