The five dimensional transformed Weyl$-$Yang$-$Kaluza$-$Klein theory of gravity

Abstract

We study that the five dimensional theory is the transformed Weyl−Yang−Kaluza−Klein gravity. The dimensionally reduced equations of motion are derived by considering an alternative form of the master equation of the theory in the coordinate basis. The conformal transformation rules are applied for the invariants. We also discuss the possible specific cases and the new Lorentz force density term, in detail.