Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision
arXiv:gr-qc/0411143
Abstract
After the heroic epoch of Causality Theory, problems concerning the smoothability of time functions and Cauchy hypersurfaces remained as unanswered folk questions. Just recently solved, our aim is to discuss the state of the art on this topic, including self-contained proofs for questions on causally continuous, stably causal and globally hyperbolic spacetimes.
arXiv commentContribution to Proc. XIII Escola de Geometria Diferencial, Sao Paulo, 2004. 21 pages, 3 figures, Latex. Minor linguistic changes, to appear in Matemática Contemporanea