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Einstein-Cartan-Maxwell Theory with Scalar Field through a Five-Dimensional Unification

C. Kohler
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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.

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C. Kohler. 1998-08-03. Einstein-Cartan-Maxwell Theory with Scalar Field through a Five-Dimensional Unification. https://doi.org/10.1142/s0217751x00000562

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