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On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem

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Abstract

Given a globally hyperbolic spacetime M, we show the existence of a smooth spacelike Cauchy hypersurface S and, thus, a global diffeomorphism between M and ℝ×S.

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Authors and Affiliations

  1. Dpto. de Geometría y Topología, Facultad de Ciencias, Fuentenueva s/n, 18071, Granada, Spain

    Antonio N. Bernal & Miguel Sánchez

Authors
  1. Antonio N. Bernal
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  2. Miguel Sánchez
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Communicated By G.W. Gibbons

The second-named author has been partially supported by a MCyT-FEDER Grant BFM2001-2871-C04-01.

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Bernal, A., Sánchez, M. On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem. Commun. Math. Phys. 243, 461–470 (2003). https://doi.org/10.1007/s00220-003-0982-6

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  • DOI: https://doi.org/10.1007/s00220-003-0982-6

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