Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped $Ad{S}_3$ black hole spacetime

Abstract

We have studied the quasinormal modes of a massive scalar field coupling to Einstein's tensor in the spacelike stretched $Ad{S}_3$ black hole spacetime. We find that both the right-moving and left-moving quasinormal frequencies depend not only on the warped parameter $v$ of black hole, but also on the coupling between the scalar field and Einstein's tensor. Moreover, we also discuss the warped $AdS/CFT$ correspondence from the quasinormal modes and probe the effects of the coupling on the left and right conformal weights $h_L$ and $h_R$ of the operators dual to the scalar field in the boundary.

16 pages, 4 figures, accepted for publication in Phys. Rev. D

References in corpus (15)

• Warped AdS_3 Black Holes
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Black hole mass and angular momentum in topologically massive gravity
• Semi-classical central charge in topologically massive gravity
• Three-dimensional Chern-Simons black holes
• Stability of warped AdS3 vacua of topologically massive gravity
• Dynamical evolution of a scalar field coupling to Einstein's tensor in the Reissner-Nordström black hole spacetime
• Supersymmetric Gödel and warped black holes in string theory
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• Self-Dual Warped AdS${}_3$ Black Holes
• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Absorption Cross Section in Warped AdS${}_3$ Black Hole
• Extension of non-minimal derivative coupling theory and Hawking radiation in black-hole spacetime
• Thermodynamic Stability of Warped AdS3 Black Holes

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• Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
• Quasinormal modes and entropy spectrum of three dimensional Godel black hole
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Propagation of a scalar field with non-minimal coupling in three dimensions: Hawking radiation and Quasinormal modes
• Parametric instability in scalar gravitational fields