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

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 nu...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2012-01, Vol.85 (2), Article 024014
Hauptverfasser: Cuadros-Melgar, Bertha, de Oliveira, Jeferson, Pellicer, C. E.
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Pellicer, C. E.
description 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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source American Physical Society Journals
subjects Black holes (astronomy)
Cosmology
Exact solutions
Gravitation
Mathematical analysis
Mathematical models
Perturbation methods
Scalars
Three dimensional
title Stability analysis and area spectrum of three-dimensional Lifshitz black holes
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