Cosmological spacetimes not covered by a constant mean curvature slicing
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.
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Cite
@article{arxiv.gr-qc/9710053,
title = {Cosmological spacetimes not covered by a constant mean curvature slicing},
author = {James Isenberg and Alan D. Rendall},
journal= {arXiv preprint arXiv:gr-qc/9710053},
year = {2009}
}
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11 pages