Holonomy groups and spacetimes
General Relativity and Quantum Cosmology
2014-11-17 v1
Abstract
A study is made of the possible holonomy group types of a space-time for which the energy-momentum tensor corresponds to a null or non-null electromagnetic field, a perfect fluid or a massive scalar field. The case of an Einstein space is also included. The techniques developed are also applied to vacuum and conformally flat space-times and contrasted with already known results in these two cases. Examples are given.
Cite
@article{arxiv.gr-qc/0310076,
title = {Holonomy groups and spacetimes},
author = {G. S. Hall and D. P. Lonie},
journal= {arXiv preprint arXiv:gr-qc/0310076},
year = {2014}
}
Comments
Latex, 14 pages, no figure