5 problems

Let $\mathcal{H}^+$ be the future event horizon and let … is satisfied on $\mathcal{H}^+$. This is stated as a stronger conjecture implying the absence of future Cauchy horizons; t…

Let $k$ be the curvature of the symmetric surfaces, let $\Lambda$ be the cosmological constant, and consider generic initial data for the surface-symmetric Einstein-Vlasov system.…

Let $k$ be the curvature of the symmetric surfaces and let $\Lambda$ be the cosmological constant. Consider surface-symmetric cosmological spacetimes with collisionless matter and…

Let the Einstein–Maxwell-charged-scalar-field system be given by equations … , and consider generic, one-ended, asymptotically flat, complete spherically symmetric initial data. It…

Let $\Sigma_0$ be a Cauchy hypersurface in a subextremal rotating Kerr spacetime, and let $\psi$ solve the linear wave equation … Assume the initial data on $\Sigma_0$ are smooth a…