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

Kuo-Wei Lee; Yng-Ing Lee

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

Differential Geometry 2011-12-08 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Authors: Kuo-Wei Lee , Yng-Ing Lee

Abstract

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.

Keywords

Schwarzschild spacetime spacelike hypersurface spherically symmetric constant mean curvature Kruskal extension coordinate singularity

Cite

@article{arxiv.1111.2679,
  title  = {Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction},
  author = {Kuo-Wei Lee and Yng-Ing Lee},
  journal= {arXiv preprint arXiv:1111.2679},
  year   = {2011}
}

Comments

32 pages, 10 figures

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