188 citations · 711 across the 33 of their papers we have counts for
36 papers
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-extrem…
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…
Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity
Sam C. Collingbourne, Gustav Holzegel
We consider the equations of linearised gravity on the Schwarzschild spacetime in a double null gauge. Applying suitably commuted versions of the conservation laws derived in earli…
The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms
Gustav Holzegel, Christopher Kauffman
We consider the perturbed covariant wave equation on the exterior of a fixed subextremal Kerr spacetime $\left(\mathcal{M},g_{M,a}\righ…