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arXiv · 0912.3584

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

Kumar S. Gupta·E. Harikumar·Siddhartha Sen·M. Sivakumar
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Abstract

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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Kumar S. Gupta, E. Harikumar, Siddhartha Sen, M. Sivakumar. 2010-06-05. Geometric Finiteness, Holography and Quasinormal Modes for the Warped AdS_3 Black Hole. https://doi.org/10.1088/0264-9381%2F27%2F16%2F165012

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