4 problems

Let $\mathcal C=C_\mathrm{out}\cup \underline C{}_\mathrm{in}$ be a bifurcate null hypersurface, and let $\mathfrak M=\mathfrak M(\mathcal C)$ be the corresponding moduli space for…

Consider initial data satisfying the appropriate energy conditions, with horizon area $A$, angular momentum $J$, and electric charge $Q$. Kerr–Newman extension conjecture. The ADM…

Let $M_{irr}=\sqrt{A/(16\pi)}$ be the irreducible mass, let $J$ be angular momentum, let $Q$ be electric charge, and let $E_{EM}$ denote the electromagnetic contribution. Kerr–Newm…

Consider very slowly rotating extremal Kerr–Newman black holes, with parameters satisfying $M^2=e^2+a^2$ and $|a|\ll M$, in the setting without spherical symmetry. Let the regulari…