7 citations · 13 across the 8 of their papers we have counts for
9 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…
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…
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system
Olivier Graf, Gustav Holzegel
We prove boundedness and inverse logarithmic decay in time of solutions to the Teukolsky equations on Schwarzschild-Anti-de Sitter backgrounds with standard boundary conditions ori…
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations
Olivier Graf, Gustav Holzegel
This is the main paper of a series establishing the linear stability of Schwarzschild-Anti-de Sitter (AdS) black holes to gravitational perturbations. Specifically, we prove that s…
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-…
Global nonlinear stability of Minkowski space for spacelike-characteristic initial data
Olivier Graf
In this paper, we prove the global nonlinear stability of Minkowski space in the context of the spacelike-characteristic Cauchy problem for Einstein vacuum equations. Spacelike-cha…
The spacelike-characteristic Cauchy problem of general relativity in low regularity
Stefan Czimek, Olivier Graf
In this paper we study the spacelike-characteristic Cauchy problem for the Einstein vacuum equations. We prove that given initial data on a maximal compact spacelike hypersurface $…
The canonical foliation on null hypersurfaces in low regularity
Stefan Czimek, Olivier Graf
Let denote the future outgoing null hypersurface emanating from a spacelike 2-sphere in a vacuum spacetime . In this paper we study the…