Geodesic Deviation in Kaluza-Klein Theories

Details Geodesic Deviation in Kaluza-Klein Theories Geodesic Deviation in Kaluza-Klein Theories

2000-10-26

arxiv.org/abs/gr-qc/0010098v1

Phys.Rev. D63 (2001) 027502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, Revtex, 1 figure. To appear in Phys. Rev. D (Brief Report)

Scientific paper

10.1103/PhysRevD.63.027502

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.

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