5 problems

Let $(M,g)$ be the maximal future development of generic asymptotically flat initial data. A terminal indecomposable past set is a past set $\mathcal{P}$ in $M$ of the type describ…

Let $(\Sigma,g,k)$ be the initial data constructed in Proposition. A marginally outer trapped surface (MOTS) is a surface with vanishing outer null expansion. Absence of MOTS conje…

Let $U$ be a body, let $\mathbf{m}(U)$ be a measure of its mass, and let $\mathcal{R}(U)$ express the size of $U$ in units of length. Here $G$ is Newton's gravitational constant an…

Outermost apparent horizon conjecture. There exists a nonempty asymptotically connected component … of $i^+$, $$

Doubly outer trapping horizon conjecture. If the boundary of some suitably refined trapped region is a trapping horizon, then it is a doubly outer trapping horizon; that is, both