On the geometry of impulsive gravitational waves
General Relativity and Quantum Cosmology
2013-10-01 v3 Mathematical Physics
math.MP
Abstract
We describe impulsive gravitational pp-waves entirely in the distributional picture. Applying Colombeau's nonlinear framework of generalized functions we handle the formally ill-defined products of distributions which enter the geodesic as well as the geodesic deviation equation. Using a universal regularization procedure we explicitly derive regularization independent distributional limits. In the special case of impulsive plane waves we compare our results with the particle motion derived from the continuous form of the metric.
Keywords
Cite
@article{arxiv.gr-qc/9809054,
title = {On the geometry of impulsive gravitational waves},
author = {Roland Steinbauer},
journal= {arXiv preprint arXiv:gr-qc/9809054},
year = {2013}
}
Comments
Unchanged from v2; Comment on publication status changed to: Prepared for "Proceedings of the 8-th National Romaninan Conference on GRG, Bistritza, June 1998", which to my best konwledge never appeared