Geodesics for impulsive gravitational waves and the multiplication of distributions
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
We consider particle trajectories in the gravitational field of an impulsive pp-wave. Due to the distributional character of the wave profile one inevitably encounters an ambiguous point value . We show that this ambiguity may be resolved by imposing covariant constancy of the square of the tangent. Our result is consistent with Colombeau's multiplication of distributions.
Cite
@article{arxiv.gr-qc/9607076,
title = {Geodesics for impulsive gravitational waves and the multiplication of distributions},
author = {H. Balasin},
journal= {arXiv preprint arXiv:gr-qc/9607076},
year = {2009}
}
Comments
14 pages, latex2e, amstex macros, no figures