Motions and world-line deviations in Einstein-Maxwell theory
Abstract
We examine the motion of charged particles in gravitational and electro-magnetic background fields. We study in particular the deviation of world lines, describing the relative acceleration between particles on different space-time trajectories. Two special cases of background fields are considered in detail: (a) pp-waves, a combination of gravitational and electro-magnetic polarized plane waves travelling in the same direction; (b) the Reissner-Nordstr{\o}m solution. We perform a non-trivial check by computing the precession of the periastron for a charged particle in the Reissner-Nordstr{\o}m geometry both directly by solving the geodesic equation, and using the world-line deviation equation. The results agree to the order of approximation considered.
Cite
@article{arxiv.gr-qc/0009016,
title = {Motions and world-line deviations in Einstein-Maxwell theory},
author = {A. Balakin and J. W. van Holten and R. Kerner},
journal= {arXiv preprint arXiv:gr-qc/0009016},
year = {2008}
}
Comments
23 pages, no figures