Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes
Marc Casals, Rita Teixeira da Costa
TL;DR
This paper reveals hidden spectral symmetries in the Teukolsky equation for Kerr and Kerr-de Sitter black holes, leading to a simplified proof of mode stability for subextremal Kerr black holes and partial results for Kerr-de Sitter cases.
Contribution
It uncovers previously conjectured spectral symmetries and applies them to establish mode stability results, simplifying and extending prior analyses.
Findings
Simplified proof of mode stability for subextremal Kerr black holes
Partial mode stability results for Kerr-de Sitter black holes
Identification of hidden spectral symmetries in the Teukolsky equation
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Relativity and Gravitational Theory