Quasinormal Modes of Extremal BTZ Black Hole
High Energy Physics - Theory
2016-08-16 v3 General Relativity and Quantum Cosmology
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
Cite
@article{arxiv.hep-th/0402048,
title = {Quasinormal Modes of Extremal BTZ Black Hole},
author = {Juan Crisóstomo and Samuel Lepe and Joel Saavedra},
journal= {arXiv preprint arXiv:hep-th/0402048},
year = {2016}
}
Comments
6 pp. Accepted Classical and Quantum Gravity. Typos corrected and some references was added. Final Version