A global definition of quasinormal modes for Kerr-AdS Black Holes
classification
🧮 math.AP
gr-qc
keywords
blackboundaryquasinormalconditionsfrequenciesholeskerr-adspoles
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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.
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