Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction

Details Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction

2011-11-11

arxiv.org/abs/1111.2679v2

Mathematics

Differential Geometry

32 pages, 10 figures

Scientific paper

We solve spacelike spherically symmetric constant mean curvature (SS-CMC)
hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior
near the coordinate singularity r = 2M. Furthermore, we join SS-CMC
hypersurfaces in the Kruskal extension to obtain complete ones and discuss the
smooth properties.

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