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Constant Mean Curvature Foliations of Globally Hyperbolic Spacetimes Locally Modelled on AdS 3

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Abstract

We prove that every three-dimensional maximal globally hyperbolic spacetime, locally modelled on the anti-de Sitter space AdS 3, with closed orientable Cauchy surfaces, admits a unique CMC time function.

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Authors and Affiliations

  1. Departement de Mathematiques UMR 5669, CNRS-Ecole Normale Superieure de Lyon, 46, allee d’ltalie, 69364, Lyon, France

    Thierry Barbot, François Béguin & Abdelghani Zeghib

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  1. Thierry Barbot
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  2. François Béguin
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  3. Abdelghani Zeghib
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Barbot, T., Béguin, F. & Zeghib, A. Constant Mean Curvature Foliations of Globally Hyperbolic Spacetimes Locally Modelled on AdS 3 . Geom Dedicata 126, 71–129 (2007). https://doi.org/10.1007/s10711-005-6560-7

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  • DOI: https://doi.org/10.1007/s10711-005-6560-7

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