On the foliation of space-time by constant mean curvature hypersurfaces

Claus Gerhardt

On the foliation of space-time by constant mean curvature hypersurfaces

Differential Geometry 2007-05-23 v1 General Relativity and Quantum Cosmology

Authors: Claus Gerhardt

Abstract

We prove that the mean curvature $\tau$ of the slices given by a constant mean curvature foliation can be used as a time function, i.e. $\tau$ is smooth with non-vanishing gradient.

Keywords

constant mean curvature foliation spacetime time function smoothness non-vanishing gradient hypersurfaces

Cite

@article{arxiv.math/0304423,
  title  = {On the foliation of space-time by constant mean curvature hypersurfaces},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:math/0304423},
  year   = {2007}
}

Comments

7 pages, amslatex, The paper is from 1999. A pdf version of the paper can be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/Foliation.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcg99.html

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