Maximizing curves for the charged-particle action in globally hyperbolic spacetimes
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
In a globally hyperbolic spacetime any pair of chronologically related events admits a connecting geodesic. We present two theorems which prove that, more generally, under weak assumptions, given a charge-to-mass ratio there is always a connecting solution of the Lorentz force equation having that ratio. A geometrical interpretation of the charged-particle action is given which shows that the constructed solutions are maximizing.
Keywords
Cite
@article{arxiv.gr-qc/0412074,
title = {Maximizing curves for the charged-particle action in globally hyperbolic spacetimes},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:gr-qc/0412074},
year = {2007}
}
Comments
16 pages, 6 figures, contribution to the proceedings of the "9th International conference on differential geometry and its applications" Prague, August 30 - September 3, 2004