We establish the full global non-linear stability of the Kerr–de Sitter family of black holes, as
solutions of the initial value problem for the Einstein vacuum equations with positive …

In classical general relativity, the values of fields on spacetime are uniquely determined by
their values at an initial time within the domain of dependence of this initial data surface …

We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of
Reissner–Nordström–de Sitter and Kerr–de Sitter spacetimes and in fact decay …

We prove the global non-linear stability, without symmetry assumptions, of slowly rotating
charged black holes in de Sitter spacetimes in the context of the initial value problem for the …

We consider quasilinear wave equations on manifolds for which infinity has a structure
generalizing that of Kerr-de Sitter space; in particular the trapped geodesics form a normally …

We study the behavior of quasinormal modes (QNMs) of massless and massive linear
waves on Schwarzschild–de Sitter black holes as the black hole mass tends to 0. Via …

Adapting and extending the techniques developed in recent work with Vasy for the study of
the Cauchy horizon of cosmological spacetimes, we obtain boundedness, regularity and …

The existence of quasinormal modes (QNMs) for waves propagating on pure de Sitter space
has been called into question in several works. We definitively prove the existence of …

In this paper, we prove that the slowly-rotating Kerr-de Sitter family of black holes are linearly
stable as a family of solutions to the Einstein vacuum equations with $\Lambda> 0$ in …