On smooth Cauchy hypersurfaces and Geroch's splitting theorem

Details On smooth Cauchy hypersurfaces and Geroch's splitting theorem On smooth Cauchy hypersurfaces and Geroch's splitting theorem

2003-06-23

arxiv.org/abs/gr-qc/0306108v2

Commun.Math.Phys. 243 (2003) 461-470

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor tipographical corrections; 12 pages, Latex; to appear in Commun. Math. Phys

Scientific paper

10.1007/s00220-003-0982-6

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 $\R \times S$.

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