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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

classification gr-qchep-thmath-phmath.APmath.MP
keywords blackholeskerrmodestabilitysymmetriesarxivhidden
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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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  1. Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics

    hep-th 2026-07 conditional novelty 6.0 of 10

    Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.

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