6 problems

Stability of Kerr–AdS for analytic perturbations. There exists $\rho_0>0$ such that, for every such $(M,a)$ and every sufficiently small $\epsilon>0$, there is…

Holzegel–Smulevici's instability conjecture. The family of Kerr–AdS spacetimes is nonlinearly unstable for generic perturbations.

The Kerr–AdS spacetimes are solutions of the Einstein equations considered as an initial-boundary value problem with Dirichlet boundary conditions. Holzegel–Smulevici conjecture. T…

Let $\psi$ be a linear scalar perturbation of a Kerr--AdS black hole solving … with reflecting boundary conditions at infinity. Let $\mathfrak m=M\sqrt{-\Lambda}$ and…

Let $\psi$ be a solution of the scalar wave equation on a Kerr-AdS black-hole exterior, and let the logarithmic decay estimate be denoted by … is sharp. This conjecture is motivate…

Let Kerr-AdS spacetimes be the rotating asymptotically anti-de Sitter black-hole solutions of the Einstein equations, and consider generic perturbations of these spacetimes. Dynami…