Quasinormal Modes of Extremal BTZ Black Hole

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 Bañados, 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).

6 pp. Accepted Classical and Quantum Gravity. Typos corrected and some references was added. Final Version

References in corpus (2)

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