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Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

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Abstract

The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spacetimes satisfying an interior condition. Using a barrier construction, a proof is given of the existence of complete hypersurfaces with constant mean cuvature which intersect null infinity in a regular cut.

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Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, S-100 44, Stockholm, Sweden. e-mail

    Lars Andersson

  2. FaMAF, Medina Allende y Haya de la Torre, Ciudad Universitaria, 5000, Córdoba, Argentina. e-mail

    Mirta S. Iriondo

Authors
  1. Lars Andersson
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  2. Mirta S. Iriondo
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Andersson, L., Iriondo, M.S. Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes. Annals of Global Analysis and Geometry 17, 503–538 (1999). https://doi.org/10.1023/A:1006642209413

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