A global definition of quasinormal modes for Kerr–AdS black holes
Annales de l'Institut Fourier, Volume 68 (2018) no. 3, pp. 1125-1167.

The quasinormal frequencies of massive scalar fields on Kerr–AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are specified at the conformal boundary. Consequently, the quasinormal frequencies form a discrete subset of the complex plane and the corresponding poles are of finite rank. This result holds for a broad class of elliptic boundary conditions, with no restrictions on the rotation speed of the black hole.

Les fréquences quasinormales des champs scalaires massifs sur les trous noirs Kerr–AdS sont identifiées avec les pôles d’une certaine famille d’opérateurs méromorphes, une fois que les conditions limites sont spécifiées à la limite conforme. Par conséquent, les fréquences quasinormales forment un sous-ensemble discret du plan complexe et les pôles correspondants sont de rang fini. Ce résultat réside dans une large classe de conditions aux limites elliptiques, sans aucune restriction sur la vitesse de rotation du trou noir.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3186
Classification: 35P25,  58J50,  37Q75,  35B34,  35L05
Keywords: Kerr–AdS black holes, quasinormal modes, scattering theory
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Gannot, Oran. A global definition of quasinormal modes for Kerr–AdS black holes. Annales de l'Institut Fourier, Volume 68 (2018) no. 3, pp. 1125-1167. doi : 10.5802/aif.3186. https://aif.centre-mersenne.org/articles/10.5802/aif.3186/

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