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

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.

arXiv comment24 pages, 1 figure; v2: clarification of the proof of Proposition 3.8 and other typos

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Cited by in corpus (8)

• Irregular Liouville correlators and connection formulae for Heun functions
• Black hole perturbation theory and multiple polylogarithms
• Multipole moments on the common horizon in a binary-black-hole simulation
• Infinite quantum twisting at the Cauchy horizon of rotating black holes
• Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes
• Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation