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

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

2009-12-18

arxiv.org/abs/0912.3584v3

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 7 pages. Journal version

Scientific paper

We show that there exists a precise kinematical notion of holography for the Euclidean warped $AdS_3$ black hole. This follows from the fact that the Euclidean warped $AdS_3$ 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 $AdS_3$ black hole.

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