Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

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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.
30 pages

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/36096

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9712036
 http://arxiv.org/abs/gr-qc/9712036

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arXiv