2 problems

Let $(\Omega, g_0, k_0)$ be a compact initial data set with nonempty smooth boundary, satisfying the dominant energy condition, and let $(M, g, k)$ be a Bartnik mass minimizer for…

Black hole settling-down conjecture. At $\Sigma_{t'}$, with $t'\gg t$, the spacetime will be described by a stationary metric. This is a dynamical black-hole statement: after black…