5 problems

Let the initial data contain $n$ disjoint outermost marginally outer trapped surfaces (MOTS) $\{\Sigma_i\}_{i=1}^n$, with areas $A_i$ and angular momenta $J_i$. Multi-horizon exten…

Let the initial data be axisymmetric and satisfy the dominant energy condition, but not necessarily the vacuum condition, and let $\Sigma$ be an outermost stable marginally outer t…

A homogeneous isotropic medium has a preferred rest frame, so electromagnetic-wave solutions generally retain rotational $\mathrm{SO}(3)$ and translational $\mathbb{R}^{3+1}$ space…

Let $k,n$ be integers and let … be the Wigner $6j$ symbol appearing in the description of the cubic invariant $\mathscr{P}_{n,3}(F)$. Nonvanishing conjecture. For every pair of int…

Let $U$ be a rotating body with angular momentum $J(U)$, and let $\mathcal{R}(U)$ be a measure of the size of $U$ with units of length. Let $G$ denote the gravitational constant an…