A global definition of quasinormal modes for kerr–Ads black holes

Oran Gannot

doi:10.5802/aif.3186

A global definition of quasinormal modes for kerr–Ads black holes

Oran Gannot^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1125-1167
Number of pages	43
Journal	Annales de l'Institut Fourier
Volume	68
Issue number	3
DOIs	https://doi.org/10.5802/aif.3186
State	Published - 2018

Keywords

Kerr–AdS black holes
Quasinormal modes
Scattering theory

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/aif.3186

Cite this

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abstract = "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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AB - 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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KW - Quasinormal modes

KW - Scattering theory

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A global definition of quasinormal modes for kerr–Ads black holes

Abstract

Keywords

ASJC Scopus subject areas

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