Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity

Abstract

We consider the various perturbations of self-dual warped AdS${}_3$ black hole and obtain the exact expressions of quasinormal modes by imposing the vanishing Dirichlet boundary condition at asymptotic infinity. It is expected that the quasinormal modes agree with the poles of retarded Green's functions of the dual CFT. Our results provide a quantitative test of the warped AdS/CFT correspondence.

10 pages, no figure, some references and comments on gravitational perturbations are added

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• Warped AdS_3 Black Holes
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• Semi-classical central charge in topologically massive gravity
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• On black holes with scalar hairs
• Nonsingular black holes and nonsingular universes in the regularized Lovelock gravity
• $SL(2,R)\times U(1)$ symmetry and quasinormal modes in the self-dual warped AdS black hole
• A Selberg zeta function for warped AdS${}_3$ black holes
• Notes on Self-dual Warped dS${}_3$ Spacetime
• Tensor Fields on Self-Dual Warped $Ad{S}_3$ Background