Hausdorff closed limits and the causal boundary of globally hyperbolic spacetimes with timelike boundary

Ivan P. Costa e Silva, José Luis Flores, Jónatan Herrera

We show that when a spacetime $\mathcal{M}(=M\cup \partial M)$ is globally hyperbolic with (possibly empty) smooth timelike boundary $\partial M$, a metrizable topology, the close…