Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds

The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such a way that the problem can be reformulated as a wave equati...

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Main Authors:	Cvetic, M, Pope, C. N, Whiting, B. F, Zhang, Haoyu
Format:	Journal Article
Language:	English
Published:	04-07-2022
Subjects:	Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory
Online Access:	Get full text
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Abstract	The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such a way that the problem can be reformulated as a wave equation in an auxiliary spacetime in which the proof of stability is greatly simplified, owing to the absence of an ergoregion. As a preliminary step towards extending these ideas to higher-dimensional black holes, we study the mode stability of the massless scalar wave equation in the five-dimensional black hole solutions of Einstein gravity and supergravity. We show how the wave equation can again be mapped into one in an auxiliary spacetime in which there is no ergoregion, allowing us to give a proof of the mode stability of the solutions of the scalar wave equation.
AbstractList	The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such a way that the problem can be reformulated as a wave equation in an auxiliary spacetime in which the proof of stability is greatly simplified, owing to the absence of an ergoregion. As a preliminary step towards extending these ideas to higher-dimensional black holes, we study the mode stability of the massless scalar wave equation in the five-dimensional black hole solutions of Einstein gravity and supergravity. We show how the wave equation can again be mapped into one in an auxiliary spacetime in which there is no ergoregion, allowing us to give a proof of the mode stability of the solutions of the scalar wave equation.
Author	Zhang, Haoyu Cvetic, M Pope, C. N Whiting, B. F
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BackLink	https://doi.org/10.1103/PhysRevD.106.104026$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.2207.01653$$DView paper in arXiv
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Snippet	The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes...
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SubjectTerms	Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory
Title	Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds
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