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arXiv · gr-qc/0306108

On smooth Cauchy hypersurfaces and Geroch's splitting theorem

Antonio N. Bernal·Miguel Sánchez
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Abstract

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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Antonio N. Bernal, Miguel Sánchez. 2003-07-26. On smooth Cauchy hypersurfaces and Geroch's splitting theorem. https://doi.org/10.1007/s00220-003-0982-6

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