9 problems

BMS encoding conjecture. The information of $M$ is encoded in the BMS fields whose support is compatible with the supertranslations reconstructing $M$ in the null surface formalism…

Let $\operatorname{BMS}_3$ denote the three-dimensional Bondi–Metzner–Sachs algebra, which is the semidirect product of the Lorentz group with the diffeomorphism group of the circl…

Consider a holographic correspondence in an asymptotically flat spacetime, with fields evolving on the null asymptotic boundary $\Im$ rather than propagating in the bulk. The nonlo…

Consider an asymptotically flat spacetime and a candidate boundary theory associated with its null boundary, such as $\Im^+$ or $\Im^-$. Since the Poincaré group is a subgroup of t…

Let $M$ be an asymptotically flat spacetime, and suppose that it satisfies the null energy condition. Require also that the spacetime Ricci tensor falls off at an appropriate rate…

An asymptotically flat solution of the vacuum Einstein equations is said to approximate $n$ outgoing black holes in a neighbourhood of future timelike infinity $i_+$. Outgoing blac…

Let an arbitrary asymptotically flat initial data set be given for the Einstein equations. A solution is globally hyperbolic if its spacetime is globally hyperbolic, and its future…

Let $g$ be an asymptotically flat metric and let $V$ be a non-singular, lower-order perturbation. Consider equations of the form … Here $\digamma$ is the inverse-square potential p…

Weak cosmic censorship conjecture. The maximal Cauchy development possesses a complete $\mathscr{I}^+$.