4 papers
Stationary gravitational modes on Kerr-anti-de Sitter spacetimes
Olivier Graf
We prove that, for any continuous path of Kerr-adS black hole parameters crossing the Hawking-Reall threshold, for all azimuthal number sufficiently large, there exists black…
Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes
Olivier Graf, Gustav Holzegel
We prove that there are no non-stationary (with respect to the Hawking vectorfield) real mode solutions to the Teukolsky equations on all -dimensional subextremal Kerr-anti-…
Stability of the Euclidean 3-ball under L2-curvature pinching
Olivier Graf
In this article, we consider compact Riemannian 3-manifolds with boundary. We prove that if the -norm of the curvature is small and if the -norm of the difference of…
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations
Olivier Graf, Gustav Holzegel
In this last part of the series we prove that the slow (inverse logarithmic) decay in time of solutions to the linearised Einstein equations on Schwarzschild-Anti-de Sitter backgro…