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Stability analysis and area spectrum of three-dimensional Lifshitz black holes

Bertha Cuadros-Melgar*

Jeferson de Oliveira† and C. E. Pellicer‡

  • Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, Greece
  • Physics Department, University of Buenos Aires FCEN-UBA, and IFIBA-CONICET, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina

  • Instituto de Física, Universidade de São Paulo, C. P. 66318, CEP 05315-970, São Paulo, Brazil

  • *berthaki@gmail.com
  • †jeferson@fma.if.usp.br
  • ‡carlosep@fma.if.usp.br
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Phys. Rev. D 85, 024014 – Published 11 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.024014

Abstract

In this work, we probe the stability of a z=3 three-dimensional Lifshitz black hole by using scalar and spinorial perturbations. We found an analytical expression for the quasinormal frequencies of the scalar probe field, which perfectly agree with the behavior of the quasinormal modes obtained numerically. The results for the numerical analysis of the spinorial perturbations reinforce the conclusion of the scalar analysis, i.e., the model is stable under scalar and spinor perturbations. As an application we found the area spectrum of the Lifshitz black hole, which turns out to be equally spaced.

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Phys. Rev. D 85, 024014– Published 11 January, 2012
  • Received 27 October 2011

© 2012 American Physical Society

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