Teukolsky on slowly-rotating Kerr-de Sitter in the vanishing $\Lambda$ limit
Abstract
We prove energy, Morawetz and rp-weighted estimates for solutions to the Teukolsky equation set on a slowly-rotating Kerr-de Sitter background. The main feature of our estimates is their uniformity with respect to the cosmological constant Λ>0 (thus allowed to tend to 0), while they hold on the whole domain of outer communications, extending up to r∼Λ−12. As an application of our result, we recover well-known corresponding estimates for solutions to Teukolsky on a slowly-rotating Kerr background in the limit Λ→0.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Advanced Mathematical Physics Problems
Relativity and Gravitational Theory
Publication details
- Journal / source
- HAL (Le Centre pour la Communication Scientifique Directe)
- Publication date
- 8 January 2026
- Language
- EN
- Document type
- Preprint