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Gravitational quasinormal modes for Kerr Anti-de Sitter black holes

M. Giammatteo·I. G. Moss
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Abstract

We investigate the quasinormal modes for gravitational perturbations of rotating black holes in four dimensional Anti-de Sitter (AdS) spacetime. The study of the quasinormal frequencies related to these modes is relevant to the AdS/CFT correspondence. Although results have been obtained for Schwarzschild and Reissner-Nordstrom AdS black holes, quasinormal frequencies of Kerr-AdS black holes are computed for the first time. We solve the Teukolsky equations in AdS spacetime, providing a second order and a Pade approximation for the angular eigenvalues associated to the Teukolsky angular equation. The transformation theory and the Regge-Wheeler-Zerilli equations for Kerr-AdS are obtained.

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M. Giammatteo, I. G. Moss. 2005-02-11. Gravitational quasinormal modes for Kerr Anti-de Sitter black holes. https://doi.org/10.1088/0264-9381%2F22%2F9%2F021

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