Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole

Abstract

We consider scalar and spinorial perturbations on a background described by a $z=3$ three-dimensional Lifshitz black hole. We obtained the corresponding quasinormal modes which perfectly agree with the analytical result for the quasinormal frequency in the scalar case. The numerical results for the spinorial perturbations reinforce our conclusion on the stability of the model under these perturbations. We also calculate the area spectrum, which prove to be equally spaced, as an application of our results.

8 pages, 5 figures. Prepared for "Recent Developments in Gravity (NEB XV)", Chania, Greece, 20-23 June 2012

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• Quasinormal modes and echo effect of cylindrical anti-de Sitter black hole spacetime with a thin shell
• Echoes of axial gravitational perturbations in stars of uniform density
• Quasinormal Modes by Improved Matrix Method and Weighted Residual Method
• Axial Gravitational Normal Modes of Uniform Density Star in Anti-de Sitter Spacetime