On smooth Cauchy hypersurfaces and Geroch's splitting theorem
classification
🌀 gr-qc
math.DG
keywords
cauchysmoothdiffeomorphismexistencegerochgivenglobalglobally
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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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