Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes

Details Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes

2011-10-21

arxiv.org/abs/1110.4856v2

Phys. Rev. D 85, 024014 (2012)

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 6 figures. References added. Version to appear in Phys. Rev. D

Scientific paper

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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