4 problems

Let $(X,\mathsf d,\mathfrak m, \ll, \leq, \tau)$ be a measured Lorentzian space, let $V\subset X$ be the achronal set occurring in the hypotheses of Theorem, and let…

Let $(M,g)$ be a globally hyperbolic spacetime satisfying the strong energy condition, and let $S\subset M$ be a future trapped surface. Volume version of Penrose's singularity the…

Let a spatially closed spacetime be a spacetime whose spatial sections are closed, and let the strong energy condition (SEC) be the usual energy condition imposed on its matter con…

Einstein's conjecture. The behavior that $r\rightarrow\alpha$ cannot be reached will be exhibited in all cases.