Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory

Details Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory

2002-08-18

arxiv.org/abs/gr-qc/0208052v1

Phys.Rev. D66 (2002) 064028

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4, 7 pages, no figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.064028

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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