Existence of Constant Mean Curvature Hypersurfaces in Asymptotically Flat Spacetimes

被引:0
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作者
Lars Andersson
Mirta S. Iriondo
机构
[1] Royal Institute of Technology,Department of Mathematics
[2] Ciudad Universitaria,FaMAF, Medina Allende y Haya de la Torre
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关键词
asymptotic structure; constant mean curvature; Lorentzian geometry;
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摘要
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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页码:503 / 538
页数:35
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