Teleparallel Equivalent of Non-Abelian Kaluza-Klein Theory

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.

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

References in corpus (2)

• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Teleparallel Equivalent of the Kaluza-Klein Theory

Cited by in corpus (6)

• Teleparallel Gravity: From Theory to Cosmology
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Kaluza-Klein theory for teleparallel gravity
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Teleparallel Gravity in Five Dimensional Theories
• Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity