Hidden Spectral Symmetries and Mode Stability of Subextremal Kerr(-de Sitter) 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 (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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- September 2022
- DOI:
- 10.1007/s00220-022-04410-0
- arXiv:
- arXiv:2105.13329
- Bibcode:
- 2022CMaPh.394..797C
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Analysis of PDEs
- E-Print:
- 24 pages, 1 figure