Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes

Abstract

We study scalar perturbations of four dimensional topological nonlinear charged Lifshitz black holes with spherical and plane transverse sections, and we find numerically the quasinormal modes for scalar fields. Then, we study the stability of these black holes under massive and massless scalar field perturbations. We focus our study on the dependence of the dynamical exponent, the nonlinear exponent, the angular momentum and the mass of the scalar field in the modes. It is found that the modes are overdamped depending strongly on the dynamical exponent and the angular momentum of the scalar field for a spherical transverse section. In constrast, for plane transverse sections the modes are always overdamped.

13 pages, 2 figures and 6 Tables. arXiv admin note: text overlap with arXiv:1404.3172, arXiv:1510.04605

References in corpus (7)

• Thermodynamics of topological nonlinear charged Lifshitz black holes
• Holographic superconductors with $z=2$ Lifshitz scaling
• Scalar field perturbations in asymptotically Lifshitz black holes
• Nonlinearly charged Lifshitz black holes for any exponent $z>1$
• Lifshitz quasinormal modes and relaxation from holography
• Thermal Correlators in Holographic Models with Lifshitz scaling
• Quasinormal modes of non-Abelian hyperscaling violating Lifshitz black holes

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