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

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arxiv 2105.13329 v2 pith:LTQ2YZES submitted 2021-05-27 gr-qc hep-thmath-phmath.APmath.MP

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

classification gr-qc hep-thmath-phmath.APmath.MP
keywords blackholeskerrmodestabilitysymmetriesarxivhidden
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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  2. Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation

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    Reassessment of the Dudley-Finley decoupling approximation for Kerr-Newman quasinormal modes with direct comparisons to the coupled system and new analysis of near-extremal zero-damped modes.