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Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

Lars Andersson·Mirta S. Iriondo
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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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Lars Andersson, Mirta S. Iriondo. 1997-12-08. Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes. https://arxiv.org/abs/gr-qc/9712036

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