On long-time evolution in general relativity and geometrization of 3-manifolds
General Relativity and Quantum Cosmology
2009-10-31 v1 Differential Geometry
Abstract
We describe some relations between the long-time asymptotic behavior of the vacuum Einstein evolution equations and the geometrization of 3-manifolds. These relations are expressed in terms of evolution of CMC hypersurfaces in the vacuum space-time.Some results are also obtained on the singularity avoidance of CMC foliations. In addition, the paper describes a number of open problems relating these two areas.
Keywords
Cite
@article{arxiv.gr-qc/0006042,
title = {On long-time evolution in general relativity and geometrization of 3-manifolds},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:gr-qc/0006042},
year = {2009}
}
Comments
36pp