Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, Part I
General Relativity and Quantum Cosmology
2016-05-03 v2 Mathematical Physics
math.MP
Abstract
We investigate the geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional form of the metric. Employing a 5-dimensional embedding formalism and a general regularisation technique we prove existence and uniqueness of geodesics crossing the wave impulse leading to a completeness result. We also derive the explicit form of the geodesics thereby confirming previous results derived in a heuristic approach.
Cite
@article{arxiv.1509.04914,
title = {Geodesics in nonexpanding impulsive gravitational waves with $\Lambda$, Part I},
author = {Clemens Sämann and Roland Steinbauer and Alexander Lecke and Jiří Podolský},
journal= {arXiv preprint arXiv:1509.04914},
year = {2016}
}
Comments
32 pages, 3 figures, minor revisions, included "Part I" in the title, final version