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Geodesic Deviation in Kaluza-Klein Theories

Richard Kerner·Jerome Martin·Salvatore Mignemi·Jan-Willem van Holten
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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.

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Richard Kerner, Jerome Martin, Salvatore Mignemi, Jan-Willem van Holten. 2000-10-26. Geodesic Deviation in Kaluza-Klein Theories. https://doi.org/10.1103/physrevd.63.027502

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