Quasinormal Modes of Extremal BTZ Black Hole

Preprint

5 February 2004

preprint
Published by arXiv in arXiv

Abstract

Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\~{n}ados, Teitelboim and Zanelli (BTZ) extremal black hole and we showed that the imaginary part of the frequency is zero. We obtain exact result for the scalar an fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).

Keywords

QUASINORMAL MODES
HOLE MOTIVATED
EXTREMAL BTZ
BLACK HOLES
MOTIVATED
BTZ BLACK

All Related Versions

Version 1, 2004-02-05, ArXiv
Version 2, 2004-04-13, ArXiv
Version 3, 2004-04-20, ArXiv
Published version: Classical and Quantum Gravity, 21 (12), 2801.

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