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Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds / Cvetic, M. (Pennsylvania U. ; Pennsylvania U., Dept. Math. ; Maribor U. ; CERN) ; Pope, C.N. (Texas A-M ; Cambridge U., DAMTP) ; Whiting, B.F. (Florida U.) ; Zhang, Haoyu (Texas A-M)
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. [...]
arXiv:2207.01653; UPR-1320-T; CERN-TH-2022-102; MI-HET-779.- 2022-11-14 - 22 p. - Published in : Phys. Rev. D 106 (2022) 104026 Fulltext: 2207.01653 - PDF; Publication - PDF;
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