The Highly Damped Quasinormal Modes of Extremal Reissner-Nordstrom and Reissner-Nordstrom-de Sitter Black Holes - INSPIRE

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The Highly Damped Quasinormal Modes of Extremal Reissner-Nordstrom and Reissner-Nordstrom-de Sitter Black Holes

Aug, 2007

16 pages

Published in:

Class.Quant.Grav. 25 (2008) 055001

e-Print:

0708.1333 [gr-qc]

DOI:

10.1088/0264-9381/25/5/055001

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Abstract: (arXiv)

We analyze in detail the highly damped quasinormal modes of D-dimensional extremal Reissner-Nordstr

\ddot{\rm{o}}

m and Reissner-Nordstr

\ddot{\rm{o}}

m-de Sitter black holes. We only consider the extremal case where the event horizon and the Cauchy inner horizon coincide. We show that, even though the topology of the Stokes/anti-Stokes lines in the extremal case is different than the non-extremal case, the highly damped quasinormal mode frequencies of extremal black holes match exactly with the extremal limit of the non-extremal black hole quasinormal mode frequencies.

Note:

16 pages, 4 figures

space-time: de Sitter
black hole: quasinormal mode
WKB approximation
black hole: Reissner-Nordstroem
monodromy
higher-dimensional
quasinormal mode: frequency

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