4 problems

Galloway–Ling conjecture. Then $M$ contains a CMC Cauchy surface.

Consider the wave equation $\square_g\phi=0$ on de Sitter spacetime with flat $3$-dimensional spatial sections. Let $t$ denote cosmological time, let $a(t)$ be the scale factor, an…

Let $f\in C_0^\infty(I)$ be a smearing function, where $I\subset\mathbb{R}$ is the domain of conformal time, and consider a scalar field of mass $m$ on a cosmological spacetime wit…

Let $A$ be the area, $J$ the angular momentum, and $\Lambda>0$ the cosmological constant of a black hole satisfying the assumptions of Theorem. Suppose an electromagnetic field is…