Kaluza-Klein theory for teleparallel gravity

We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar \(^{(5)}T\) generates the non-Brans-Dicke type effective Lagrangian in 4-dimension due to an additional couplin...

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Bibliographic Details
Published in:arXiv.org 2014-09
Main Authors: Chao-Qiang Geng, Chang, Lai, Ling-Wei, Luo, Tseng, Huan-Hsin
Format: Article
Language:English
Subjects:
Gravitation
Relativity
Torsion
Universe
Online Access:Get full text
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Summary:We study teleparallel gravity in the \emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar \(^{(5)}T\) generates the non-Brans-Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.1018