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 …

We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …

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 …

Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
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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 study the nonlinear stability of the (3+ 1)(3+ 1)-dimensional Minkowski spacetime as a
solution of the Einstein vacuum equation. Similarly to our previous work on the stability of …

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 …

A Kerr–de Sitter black hole is a solution. M; gƒ; m; a/of the Einstein vacuum equations with
cosmological constant ƒ> 0. It describes a black hole with mass m> 0 and specific angular …

We show the small data solvability of suitable semilinear wave and Klein–Gordon equations
on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr …

We prove in this paper that the Schwarzschild family of black holes are linearly stable as a
family of solutions to the system of equations that result from expressing the Einstein vacuum …