4 problems

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 i…

The pure anti-de Sitter spacetime is considered with reflecting boundary conditions, namely Dirichlet or Neumann conditions. Nonlinear instability conjecture. Anti-de Sitter spacet…

The pure anti-de Sitter spacetime has metric … The boundary conditions are optimally dissipative. Asymptotic stability conjecture. Anti-de Sitter spacetime is asymptotically stable…

Consider a one-parameter family of $D$-dimensional Anti-de Sitter metrics $g_{\mu\nu}(\Lambda)$ arising as quantum-gravity low-energy effective theories, labelled by their cosmolog…