Gravitational quasinormal modes for Kerr Anti-de Sitter black holes
M. Giammatteo, I.G. Moss
TL;DR
This paper computes the gravitational quasinormal modes of Kerr-AdS black holes, providing new insights into their perturbation spectra relevant for the AdS/CFT correspondence.
Contribution
It presents the first calculation of quasinormal frequencies for Kerr-AdS black holes, solving the Teukolsky equations in this context.
Findings
Computed quasinormal frequencies for Kerr-AdS black holes
Developed methods to solve Teukolsky equations in AdS spacetime
Provided angular eigenvalues using Pade approximation
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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