8 problems

Let the Einstein–Maxwell-charged-scalar-field system be given by equations … , and consider generic, one-ended, asymptotically flat, complete spherically symmetric initial data. It…

Consider generic regular spherically symmetric one-ended asymptotically flat black hole solutions of the Einstein–Maxwell-charged-scalar-field equations 1.1\–5.1\ with…

Let a black hole form from generic gravitational collapse, and denote its terminal boundary's Cauchy horizon by $\mathcal{CH}_{i^+}$ and its spacelike singularity by $\mathcal{S}$.…

Let $g$ be a spacetime metric satisfying the vacuum Einstein equations … A Cauchy datum is regular and one-ended when it is regular and has one asymptotically flat end, and gravita…

A subextremal black hole is a black hole that is not extremal. The third law of black hole thermodynamics. A subextremal black hole cannot become extremal in finite time by any con…

Let $\mathcal{Q}^+$ be the quotient spacetime, $\mathcal{I}^+$ future null infinity, and let the black-hole asymptotic charge mean the limiting charge appearing in the model. Nonze…

Let $\mathcal{Q}^+$ be the quotient spacetime, $\mathcal{I}^+$ future null infinity, and interpret “sub-extremal in the limit” as the limiting black-hole condition stated in the pa…

Let $\mathcal{Q}^+$ be the quotient spacetime, $\mathcal{I}^+$ future null infinity, and $\mathcal{S}$ the relevant singular boundary component. Space-like singularity conjecture.…