3 problems

Bizon's AdS instability conjecture. AdS spacetimes are unstable to arbitrarily small perturbations.

In asymptotically anti-de Sitter gravity, consider the sets of non-collapsing solutions at finite amplitude and their behavior as the amplitude tends to zero. Stability island conj…

Consider a sequence of steady-state, spherically symmetric Einstein–Vlasov solutions, with total rest mass $M_0$, ADM mass $M$, binding energy $e_b=M_0-M$, and fractional binding e…