6 papers
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-…
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…
Quasilinear wave equations on Kerr black holes in the full subextremal range
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence, boundedness and decay for small data solutions to a general class of quasilinear wave equations on Kerr black hole backgrounds in the full sub-extre…
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in pa…
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…