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The existence of constant mean curvature foliations of Gowdy 3-torus spacetimes

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Abstract

We consider the class of smooth, maximally extended, globally hyperbolic, vacuum, Gowdy spacetimes onT 3×R and prove that these spacetimes are globally foliated by space-like, constant mean curvature hypersurfaces. Our results can easily be extended to cover electrovac solutions of the same symmetry type and can probably be extended to cover other spacetime topologies as well.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    James Isenberg

  2. Department of Physics, Yale University, 06511, New Haven, CT, USA

    Vincent Moncrief

Authors
  1. James Isenberg
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  2. Vincent Moncrief
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Additional information

Communicated by S.-T. Yau

Research supported in part by NSF grant No. PHY79-16482 at Yale and No. PHY79-13146 at Berkeley

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Isenberg, J., Moncrief, V. The existence of constant mean curvature foliations of Gowdy 3-torus spacetimes. Commun.Math. Phys. 86, 485–493 (1982). https://doi.org/10.1007/BF01214884

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  • DOI: https://doi.org/10.1007/BF01214884

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