Hidden Spectral Symmetries and Mode Stability of Subextremal Kerr(-de Sitter) Black Holes

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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 (Ann. Henri Poincaré 23, 1951-1977, 2022, and Gen. Relativ. Grav. 53(10):93, 2021) 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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Casals, M., & Teixeira da Costa, R. (2022). Hidden Spectral Symmetries and Mode Stability of Subextremal Kerr(-de Sitter) Black Holes. Communications in Mathematical Physics, 394(2), 797–832. https://doi.org/10.1007/s00220-022-04410-0

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