%0 Journal Article
%T On smooth Cauchy hypersurfaces and Geroch's splitting theorem
%A Antonio N. Bernal
%A Miguel S¨˘nchez
%J Mathematics
%D 2003
%I arXiv
%R 10.1007/s00220-003-0982-6
%X Given a globally hyperbolic spacetime $M$, we show the existence of a {\em smooth spacelike} Cauchy hypersurface $S$ and, thus, a global diffeomorphism between $M$ and $\R \times S$.
%U http://arxiv.org/abs/gr-qc/0306108v2