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Advances in High Energy Physics
Volume 2013 (2013), Article ID 148417, 12 pages
http://dx.doi.org/10.1155/2013/148417
Research Article

On Higher Dimensional Kaluza-Klein Theories

Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Received 2 September 2013; Accepted 8 October 2013

Academic Editor: Kishor Adhav

Copyright © 2013 Aurel Bejancu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a new method for the study of general higher dimensional Kaluza-Klein theories. Our new approach is based on the Riemannian adapted connection and on a theory of adapted tensor fields in the ambient space. We obtain, in a covariant form, the fully general 4D equations of motion in a (4 + n)D general gauge Kaluza-Klein space. This enables us to classify the geodesics of the (4 + n)D space and to show that the induced motions in the 4D space bring more information than motions from both the 4D general relativity and the 4D Lorentz force equations. Finally, we note that all the previous studies on higher dimensional Kaluza-Klein theories are particular cases of the general case considered in the present paper.