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arXiv · 1409.1018

Kaluza-Klein theory for teleparallel gravity

Chao-Qiang Geng·Chang Lai·Ling-Wei Luo·Huan-Hsin Tseng
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Abstract

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.

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Chao-Qiang Geng, Chang Lai, Ling-Wei Luo, Huan-Hsin Tseng. 2014-09-03. Kaluza-Klein theory for teleparallel gravity. https://doi.org/10.1016/j.physletb.2014.08.055

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