Dirac quasinormal modes of Chern-Simons and BTZ black holes with torsion

Abstract

We study Chern-Simons black holes in d-dimensions and we calculate analytically the quasinormal modes of fermionic perturbations. Also, we consider as background the five-dimensional Chern-Simons black hole with torsion and the BTZ black hole with torsion. We have found that the quasinormal modes depend on the highest power of curvature present in the Chern-Simons theory, such as occurs for the quasinormal modes of scalar perturbations. We also show that the effect of the torsion is to modify the real part of the quasinormal frequencies, which modify the oscillation frequency of the field for the five dimensional case. However, for the BTZ black hole with torsion, the effect is to modify the imaginary part of these frequencies, that is, the relaxation time for the decay of the black hole perturbation. The imaginary part of the quasinormal frequencies is negative which guaranties the stability of these black holes under fermionic field perturbations.

Version accepted for publication in PRD

References in corpus (13)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Three-dimensional supergravity reloaded
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• The CFT dual of AdS gravity with torsion
• Phase transitions and regions of stability in Reissner-Nordström holographic superconductors
• Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography
• Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
• Holography in 3D AdS gravity with torsion
• Electric field in 3D gravity with torsion
• Quasinormal modes and stability analysis for z=4 Topological black hole in 4+1 dimensional Horava-Lifshitz gravity
• Self-dual Maxwell field in 3D gravity with torsion
• Nonlinear electrodynamics in 3D gravity with torsion
• Stability of 3D black hole with torsion

Cited by in corpus (19)

• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
• Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
• Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
• Quasinormal modes of a scalar field in the Einstein--Gauss--Bonnet-AdS black hole background: Perturbative and non-perturbative branches
• Hairy BTZ black hole and its analogue model in graphene
• Perturbative and nonperturbative fermionic quasinormal modes of Einstein-Gauss-Bonnet-AdS black holes
• Quasinormal modes of three-dimensional rotating Hořava AdS black hole and the approach to thermal equilibrium
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
• Electromagnetic quasinormal modes of an asymptotically Lifshitz black hole
• Quasinormal modes of BTZ black hole and Hawking-like radiation in graphene
• Quasinormal modes of a two-dimensional black hole
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion
• Quasinormal Modes in Generalized Nariai Spacetimes
• Late time behavior of the massive Dirac field in D-dimensional Minkowski spacetime