Scalar quasinormal modes of Kerr-AdS(5)

Julian Barragan Amado; Bruno Carneiro da Cunha; Elisabetta Pallante

doi:10.1103/PhysRevD.99.105006

Scalar quasinormal modes of Kerr-AdS(5)

Julian Barragan Amado^*, Bruno Carneiro da Cunha, Elisabetta Pallante

^*Corresponding author for this work

High-Energy Frontier

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

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Abstract

An analytic expression for the scalar quasinormal modes of generic, spinning Kerr-AdS(5) black holes was previously proposed by the authors [J. High Energy Phys. 08 (2017) 094], in terms of transcendental equations involving the Painlev'e VI (PVI) tau function. In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI tau function in terms of both conformal blocks (Nekrasov functions) and Fredholm determinants. We compare the results with standard numerical methods for the subcase of Schwarzschild black holes. We then derive asymptotic formulas for the angular eigenvalues and the quasinormal modes in the small black hole limit for generic scalar mass and discuss, both numerically and analytically, the appearance of superradiant modes.

Original language	English
Article number	105006
Number of pages	21
Journal	Physical Review D
Volume	99
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.99.105006
Publication status	Published - 15-May-2019

Keywords

EQUATIONS

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Scalar quasinormal modes of Kerr − AdS 5Final publisher's version, 461 KBLicence: CC BY

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title = "Scalar quasinormal modes of Kerr-AdS(5)",

abstract = "An analytic expression for the scalar quasinormal modes of generic, spinning Kerr-AdS(5) black holes was previously proposed by the authors [J. High Energy Phys. 08 (2017) 094], in terms of transcendental equations involving the Painlev'e VI (PVI) tau function. In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI tau function in terms of both conformal blocks (Nekrasov functions) and Fredholm determinants. We compare the results with standard numerical methods for the subcase of Schwarzschild black holes. We then derive asymptotic formulas for the angular eigenvalues and the quasinormal modes in the small black hole limit for generic scalar mass and discuss, both numerically and analytically, the appearance of superradiant modes.",

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N2 - An analytic expression for the scalar quasinormal modes of generic, spinning Kerr-AdS(5) black holes was previously proposed by the authors [J. High Energy Phys. 08 (2017) 094], in terms of transcendental equations involving the Painlev'e VI (PVI) tau function. In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI tau function in terms of both conformal blocks (Nekrasov functions) and Fredholm determinants. We compare the results with standard numerical methods for the subcase of Schwarzschild black holes. We then derive asymptotic formulas for the angular eigenvalues and the quasinormal modes in the small black hole limit for generic scalar mass and discuss, both numerically and analytically, the appearance of superradiant modes.

AB - An analytic expression for the scalar quasinormal modes of generic, spinning Kerr-AdS(5) black holes was previously proposed by the authors [J. High Energy Phys. 08 (2017) 094], in terms of transcendental equations involving the Painlev'e VI (PVI) tau function. In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI tau function in terms of both conformal blocks (Nekrasov functions) and Fredholm determinants. We compare the results with standard numerical methods for the subcase of Schwarzschild black holes. We then derive asymptotic formulas for the angular eigenvalues and the quasinormal modes in the small black hole limit for generic scalar mass and discuss, both numerically and analytically, the appearance of superradiant modes.

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JF - Physical Review D

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ER -

Scalar quasinormal modes of Kerr-AdS(5)

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