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Springer, Communications in Mathematical Physics, 3(243), p. 461-470, 2003

DOI: 10.1007/s00220-003-0982-6

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On smooth Cauchy hypersurfaces and Geroch's splitting theorem

Journal article published in 2003 by Antonio N. Bernal, Miguel Sánchez ORCID
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This paper is available in a repository.

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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 $R times S$.