The regularity of geodesics in impulsive pp-waves
General Relativity and Quantum Cosmology
2014-02-24 v2 Mathematical Physics
math.MP
Abstract
We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheodory) are actually continuously differentiable, thereby rigorously justifying the -matching procedure which has been used in the literature to explicitly derive the geodesics in space-times of this form.
Keywords
Cite
@article{arxiv.1310.1322,
title = {The regularity of geodesics in impulsive pp-waves},
author = {Alexander Lecke and Roland Steinbauer and Robert Svarc},
journal= {arXiv preprint arXiv:1310.1322},
year = {2014}
}
Comments
final version, minor changes, reference added