Scalar-tensor theory in higher-dimensional space-time with torsion

Abstract

The modified Brans-Dicke theory with a torsion field is discussed in five-dimensional space of Kaluza-Klein type. It is shown that the electromagnetic field and the scalar field appear during the reduction of five-dimensional action. A conformally mapped metric is also used to see the relation between the scalar field and the tlaplon field which is induced for the electromagnetic field to be invariant under the gauge transformation and their equivalence. © 1987 The American Physical Society.