4 problems

Let $\mathcal{H}^+$ be the event horizon and let $v$ be the standard advanced time null coordinate. Massive scalar-field tail conjecture. For smooth, regular, generic admissible da…

Charged massless scalar decay conjecture. For smooth, regular, generic admissible data with a non-empty black hole and $m^2=0$,

Hod–Piran conjecture. Among all admissible, sufficiently regular and decaying data, there exists a generic subclass such that, whenever the maximal future development satisfies…

Let $\mathcal A$ denote the class of initial data such that the corresponding maximal globally hyperbolic developments are future causally geodesically complete solutions to the Ei…