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arXiv · 2105.13329

Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes

Marc Casals·Rita Teixeira da Costa
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Abstract

We uncover hidden spectral symmetries of the Teukolsky equation in Kerr(-de Sitter) black holes, recently conjectured by Aminov, Grassi and Hatsuda (arXiv: 2006.06111 and arXiv: 2007.07906, 2020) in the zero cosmological constant case. Using these symmetries, we provide a new, simpler proof of mode stability for subextremal Kerr black holes. We also present a partial mode stability result for Kerr-de Sitter black holes.

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Marc Casals, Rita Teixeira da Costa. 2021-05-27. Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes. https://doi.org/10.1007/s00220-022-04410-0

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