4 problems

Let $(\mathcal M,g)$ be the maximal vacuum Cauchy development of sufficiently small perturbations of asymptotically flat two-ended Kerr data with parameters $0<|a|<M$. Ori's conjec…

Ionescu's Kerr wave-map stability conjecture. For any subextremal Kerr metric with $|a|<M$, this stationary solution is future asymptotically stable in the domain of outer communic…

Let $K(a,M)$ be a Kerr spacetime with $0\leq |a|\leq M$, and let vacuum initial data sets be sufficiently close to Kerr initial data. Stability of Kerr conjecture. Their maximal de…

Let $(\mathcal M,g)$ be extremal Kerr spacetime with mass $M$ and angular momentum per unit mass $a$, where $M=|a|\neq 0$. Let $\phi$ be an axisymmetric solution of … arising from…