On Higher Dimensional Kaluza-Klein Theories

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 +...

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Main Author: Aurel Bejancu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/148417
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author Aurel Bejancu
author_facet Aurel Bejancu
author_sort Aurel Bejancu
collection DOAJ
description 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.
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series Advances in High Energy Physics
spelling doaj-art-bc816f82b3e549f890ab9860930bbf752025-02-03T01:03:12ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/148417148417On Higher Dimensional Kaluza-Klein TheoriesAurel Bejancu0Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitWe 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.http://dx.doi.org/10.1155/2013/148417
spellingShingle Aurel Bejancu
On Higher Dimensional Kaluza-Klein Theories
Advances in High Energy Physics
title On Higher Dimensional Kaluza-Klein Theories
title_full On Higher Dimensional Kaluza-Klein Theories
title_fullStr On Higher Dimensional Kaluza-Klein Theories
title_full_unstemmed On Higher Dimensional Kaluza-Klein Theories
title_short On Higher Dimensional Kaluza-Klein Theories
title_sort on higher dimensional kaluza klein theories
url http://dx.doi.org/10.1155/2013/148417
work_keys_str_mv AT aurelbejancu onhigherdimensionalkaluzakleintheories