3 problems

Kerr stability conjecture. The maximal Cauchy development of any initial data set for the Einstein vacuum equations, sufficiently close to a subextremal Kerr initial data set in a…

Fix $M>0$. Let $\eta\in(0,1)$ and $m\in\mathbb{Z}$. Let $J_2,J_3\geq J_1\geq J_{\mathrm{min}}\geq 1$, and let $C=C(m,M,J_1,J_2,J_3,\eta)>0$. For any $|a|\leq M$ and any solution…

Let ${\mathcal K}(M,a)$ be a Kerr spacetime with $|a|<M$, let ${\bf g}_{M,a}$ be its metric, and let $\Phi_{M,a}:{\mathcal K}(M,a)\longrightarrow {\mathbb H}^2$ be the stationary s…