The nonlinear instability conjecture for Kerr-AdS

Let Kerr-AdS be a rotating asymptotically anti-de Sitter black-hole solution of the Einstein vacuum equations, and impose Dirichlet boundary conditions. A generic perturbation of initial data means a perturbation outside any exceptional nongeneric set. Kerr-AdS nonlinear instability conjecture. Kerr-AdS is unstable against generic perturbations of the initial data. Stable trapping under Dirichlet boundary conditions and slow decay for the Klein--Gordon equation motivate this nonlinear instability conjecture, even within the Hawking--Reall bound. The source presents it as unresolved and gives no rigorous nonlinear instability theorem.