Hypersurfaces of Five Dimensional Space-times
General Relativity and Quantum Cosmology
2008-02-03 v2
Abstract
It is shown that a space-time hypersurface of a 5-dimensional Ricci-flat space-time has its energy momentum tensor algebrically related to its extrinsic curvature and to the Riemann curvature of the embedding space. It is also seen that the Einstein-Maxwell field does not arise naturally from this geometry, so that a Kaluza-Klein model based on it would require further assumptions.
Keywords
Cite
@article{arxiv.gr-qc/9512002,
title = {Hypersurfaces of Five Dimensional Space-times},
author = {M. D. Maia},
journal= {arXiv preprint arXiv:gr-qc/9512002},
year = {2008}
}
Comments
5 pages, Revtex, no figures. Fixing some equations