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

TL;DR

This paper explores a five-dimensional Weyl-Yang-Kaluza-Klein gravity theory, deriving reduced equations of motion, applying conformal transformations, and analyzing new force terms, advancing understanding of higher-dimensional gravity models.

Contribution

It introduces a novel approach to five-dimensional Weyl-Yang-Kaluza-Klein gravity, deriving equations via an alternative form and examining conformal invariants and force terms.

Findings

Derived dimensionally reduced equations of motion.

Applied conformal transformation rules to invariants.

Identified a new Lorentz force density term.

Abstract

We study the case in which 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 main equation of the theory in the coordinate basis. The conformal transformation rules are applied to the invariants. We also discuss the possible specific cases and the new Lorentz force density term, in detail.