5-Dimensional Covariance and Generation of Solutions of Einstein Equations
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
A generation procedure, based on the 5-dimensional covariance of the Kaluza-Klein theory, is developed. The procedure allows one to obtain exact solutions of the 4-dimensional Einstein equations with electromagnetic and scalar fields from vacuum 5-dimensional solutions using special 5-dimensional coordinate transformations. Relations between the physical properties of the resulting solutions and invariant geometrical properties of the generating Killing vectors are found out.
Keywords
Cite
@article{arxiv.gr-qc/0212098,
title = {5-Dimensional Covariance and Generation of Solutions of Einstein Equations},
author = {Sergey S. Kokarev},
journal= {arXiv preprint arXiv:gr-qc/0212098},
year = {2007}
}
Comments
Latex 2.09, 6 pages