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Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory

A. L. Barbosa·L. C. T. Guillen·J. G. Pereira
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Abstract

Based on the equivalence between a gauge theory for the translation group and general relativity, a teleparallel version of the non-abelian Kaluza-Klein theory is constructed. In this theory, only the fiber-space turns out to be higher-dimensional, spacetime being kept always four-dimensional. The resulting model is a gauge theory that unifies, in the Kaluza-Klein sense, gravitational and gauge fields. In contrast to the ordinary Kaluza-Klein models, this theory defines a natural length-scale for the compact sub-manifold of the fiber space, which is shown to be of the order of the Planck length.

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A. L. Barbosa, L. C. T. Guillen, J. G. Pereira. 2002-08-18. Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory. https://doi.org/10.1103/physrevd.66.064028

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