Quasinormal modes of the extremal BTZ black hole

Juan Crisóstomo, Samuel Lepe, JOEL FRANCISCO SAAVEDRA ALVEAR

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)2801-2809
Number of pages9
JournalClassical and Quantum Gravity
Volume21
Issue number12
DOIs
StatePublished - 21 Jun 2004

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