The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
General Relativity and Quantum Cosmology
2015-01-30 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study geodesics in the complete family of nonexpanding impulsive gravitational waves propagating in spaces of constant curvature, that is Minkowski, de Sitter and anti-de Sitter universes. Employing the continuous form of the metric we prove existence and uniqueness of continuously differentiable geodesics (in the sense of Filippov) and use a C^1-matching procedure to explicitly derive their form.
Keywords
Cite
@article{arxiv.1409.1782,
title = {The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves},
author = {Jiri Podolsky and Clemens Sämann and Roland Steinbauer and Robert Svarc},
journal= {arXiv preprint arXiv:1409.1782},
year = {2015}
}
Comments
20 pages, 1 figure, minor revisions, final version