Geodesic completeness of generalized space-times
Differential Geometry
2015-01-30 v3 General Relativity and Quantum Cosmology
Functional Analysis
Abstract
We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions. We then show completeness of a wide class of impulsive gravitational wave space-times.
Cite
@article{arxiv.1310.2362,
title = {Geodesic completeness of generalized space-times},
author = {Clemens Sämann and Roland Steinbauer},
journal= {arXiv preprint arXiv:1310.2362},
year = {2015}
}
Comments
8 pages, v3: minor corrections, final version