Scalar field perturbations in asymptotically Lifshitz black holes
arXiv:1203.0582 · doi:10.1103/PhysRevD.85.124001
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.
arXiv comment13 pages, no figures. v2: 14 pages, references added. To appear on PRD
References in corpus (20)
- Gauge Theory Correlators from Non-Critical String Theory
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Gravity Duals of Lifshitz-like Fixed Points
- Massive Gravity in Three Dimensions
- Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
- Lifshitz Black Hole in Three Dimensions
- Holographic stress tensor for non-relativistic theories
- An analytic Lifshitz black hole
- A Lifshitz Black Hole in Four Dimensional R^2 Gravity
- Analytic Lifshitz black holes in higher dimensions
- Holography for asymptotically locally Lifshitz spacetimes
- Birkhoff's theorem in Lovelock gravity
- A comment on AdS collapse of a scalar field in higher dimensions
- Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
- Lovelock-Lifshitz Black Holes
- Hamilton-Jacobi Renormalization for Lifshitz Spacetime
- Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
- Holographic Renormalization for Asymptotically Lifshitz Spacetimes
- Quasi-Topological Lifshitz Black Holes
- Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
Cited by in corpus (26)
- First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
- Scalar field propagation in higher dimensional black holes at a Lifshitz point
- Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
- Boundary conditions for scalars in Lifshitz
- Thermal Correlators in Holographic Models with Lifshitz scaling
- Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes
- Charged scalar quasi-normal modes for linearly charged dilaton-Lifshitz solutions
- Quasinormal Modes, Stability Analysis and Absorption Cross Section for 4-dimensional Topological Lifshitz Black Hole
- Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole
- Thermodynamics and Cardy-like formula for nonminimally dressed, charged Lifshitz black holes in New Massive Gravity
- Boundary conditions for metric fluctuations in Lifshitz
- Cardy formula for charged black holes with anisotropic scaling
- Scalar field perturbations of a Lifshitz black hole in conformal gravity in three dimensions
- Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
- Holographic complexity for Lifshitz system
- AdS and Lifshitz black hole solutions in conformal gravity sourced with a scalar field
- Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes
- Electromagnetic quasinormal modes of an asymptotically Lifshitz black hole
- Scalar field scattering by a Lifshitz black hole under a non-minimal coupling
- Scalarization-like mechanism through spacetime anisotropic scaling symmetry
- Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
- Quasinormal modes and black hole hairs in AdS
- Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
- Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
- Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA
- Gravitational quasinormal modes for Lifshitz black branes