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.

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

References in corpus (9)

• Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• Quasinormal modes of Kerr-de Sitter black holes via the Heun function
• An alternative to the Teukolsky equation
• A proof of the instability of AdS for the Einstein--massless Vlasov system
• Kerr stability for small angular momentum
• The Teukolsky--Starobinsky constants: facts and fictions
• Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: frequency space analysis
• Wave equations in the Kerr-de Sitter spacetime: the full subextremal range

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• 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