Scalar field perturbations in asymptotically Lifshitz black holes

Abstract

We consider scalar field perturbations about asymptotically Lifshitz black holes with dynamical exponent z in D dimensions. We show that, for suitable boundary conditions, these Lifshitz black holes are stable under scalar field perturbations. For z=2, we explicitly compute the quasinormal mode frecuencies, which result to be purely imaginary, and then obtain the damping-off of the scalar field perturbation in these backgrounds. The general analysis includes, in particular, the z=3 black hole solution of three-dimensional massive gravity.

13 pages, no figures. v2: 14 pages, references added. To appear on PRD

References in corpus (3)

• Massive Gravity in Three Dimensions
• Holographic stress tensor for non-relativistic theories
• Quasi-Topological Lifshitz Black Holes

Cited by in corpus (6)

• Thermal Correlators in Holographic Models with Lifshitz scaling
• Scalar field scattering by a Lifshitz black hole under a non-minimal coupling
• Electromagnetic quasinormal modes of an asymptotically Lifshitz black hole
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• Gravitational quasinormal modes for Lifshitz black branes
• Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA