Finsler and Kaluza-Klein gauge theories
type: Item
instance of: scholarly article
title: Finsler and Kaluza-Klein gauge theories
zbMATH Open document ID: 0787.53019
DOI: 10.1007/BF01215308
published in: International Journal of Theoretical Physics
publication date: 1994-05-09T00:00:00Z
review text: The author develops a gauge theory on the total space \(E\) of a vector bundle with respect to the transformations (1) \(\bar x^ i = \bar x^ i(x^ 1,\dots,x^ m)\); \(\bar z^ a = L^ a_ b(x)z^ b\), \(i\in\{1,\dots,m\}\), \(a,b \in \{1,\dots,n\}\). It is shown that Kaluza- Klein theory and a Finsler gauge approach exist simultaneously and define two different representations of the transformation group. The components of the nonlinear connection on \(E\) are considered as potentials and fields with respect to a Kaluza-Klein theory and a Finsler gauge theory respectively. The transformations (1) contain the Asanov's gauge transformations [cf. \textit{G. A. Asanov}, Finsler geometry, relativity and gauge theories (1985; Zbl 0576.53001)]. The general gauge transformations on a total space of a fibre bundle are considered by the reviewer [Finsler geometry and applications (1990; Zbl 0702.53001)] in a chapter on gauge theory on a fibre bundle.
reviewed by: Aurel Bejancu
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 83E15
zbMATH DE Number: 465582
zbMATH Keywords: Kaluza-Klein theory
zbMATH Keywords: Finsler Gauge theory
zbMATH Keywords: transformation group
zbMATH Keywords: Anasov's gauge transformations
author: Ralph G. Beil
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 465582