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 |
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creator | Cuadros-Melgar, Bertha de Oliveira, Jeferson 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. |
doi_str_mv | 10.1103/PhysRevD.85.024014 |
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D, Particles, fields, gravitation, and cosmology</title><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. 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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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