4 problems

Strominger's antipodal conjecture. The two resulting functions should agree after composition with the antipodal map

Let $(\Sigma,g,k)$ be vacuum initial data that are asymptotically flat, and consider localization to a cone as in the Carlotto–Schoen construction. Carlotto's conjecture. Such loca…

Asymptotically flat paracausality conjecture. If

Let the initial data be time-symmetric and conformally flat, and let $i_0$ denote spatial infinity. Consider the transition from spatial infinity $i_0$ to null infinity, denoted by…