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math-ph2018
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 is globally hyperbolic with (possibly empty) smooth timelike boundary , a metrizable topology, the close…
math-ph2016
Rigidity of geodesic completeness in the Brinkmann class of gravitational wave spacetimes
Ivan P. Costa e Silva, Jose Luis Flores, Jonatan Herrera
We consider restrictions placed by geodesic completeness on spacetimes possessing a null parallel vector field, the so-called Brinkmann spacetimes. This class of spacetimes include…