Metrics with distributional curvature
General Relativity and Quantum Cosmology
2009-10-31 v6
Abstract
This paper considers metrics whose curvature tensor makes sense as a distribution. A class of such metrics, the regular metrics, was defined and studied by Geroch and Traschen. Here, we generalize their definition to form a wider class: semi-regular metrics. We then examine in detail two metrics that are semi-regular but not regular: (i) Minkowski spacetime minus a wedge and (ii) a certain traveling wave metric.
Keywords
Cite
@article{arxiv.gr-qc/9906053,
title = {Metrics with distributional curvature},
author = {David Garfinkle},
journal= {arXiv preprint arXiv:gr-qc/9906053},
year = {2009}
}
Comments
7 pages, Revtex, terminology changed, background material added