Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

Details Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

1997-12-08

arxiv.org/abs/gr-qc/9712036v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages

Scientific paper

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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