Geometric Finiteness, Holography and Quasinormal Modes for the Warped AdS_3 Black Hole

Abstract

We show that there exists a precise kinematical notion of holography for the Euclidean warped $Ad{S}_3$ black hole. This follows from the fact that the Euclidean warped $Ad{S}_3$ black hole spacetime is a geometrically finite hyperbolic manifold. For such manifolds a theorem of Sullivan provides a one-to-one correspondence between the hyperbolic structure in the bulk and the conformal structure of its boundary. Using this theorem we obtain the holographic quasinormal modes for the warped $Ad{S}_3$ black hole.

Latex file, 7 pages. Journal version

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• String Theory on Warped AdS_3 and Virasoro Resonances
• Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole
• Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
• Area spectra versus entropy spectra in black holes in topologically massive gravity
• Homogeneous anisotropic solutions of topologically massive gravity with cosmological constant and their homogeneous deformations
• The Central Charge of the Warped AdS^3 Black Hole