Einstein-Cartan-Maxwell Theory with Scalar Field through a Five-Dimensional Unification
arXiv:gr-qc/9808004 · doi:10.1142/S0217751X00000562
Abstract
A modification of Kaluza-Klein theory is proposed in which, as a result of a symmetry breaking, five-dimensional space-time is partially parallelized implying the appearance of torsion fields. A naturally chosen action functional leads to the Einstein-Cartan-Maxwell theory where the electromagnetic field strength is represented by the fifth component of the torsion 2-form. Incorporation of a scalar field reveals that four-dimensional space-time torsion is not induced by the scalar field.
6 pages, REVTeX