Geodesic Deviation in Kaluza-Klein Theories
General Relativity and Quantum Cosmology
2009-10-31 v1 High Energy Physics - Theory
Abstract
We study in detail the equations of the geodesic deviation in multidimensional theories of Kaluza-Klein type. We show that their 4-dimensional space-time projections are identical with the equations obtained by direct variation of the usual geodesic equation in the presence of the Lorentz force, provided that the fifth component of the deviation vector satisfies an extra constraint derived here.
Cite
@article{arxiv.gr-qc/0010098,
title = {Geodesic Deviation in Kaluza-Klein Theories},
author = {Richard Kerner and Jerome Martin and Salvatore Mignemi and Jan-Willem van Holten},
journal= {arXiv preprint arXiv:gr-qc/0010098},
year = {2009}
}
Comments
5 pages, Revtex, 1 figure. To appear in Phys. Rev. D (Brief Report)