Scalar-Tensor Theory of Gravity on $M_4\times Z_{2}$ Geometry

TL;DR

This paper explores the geometrical interpretation of torsion in Brans-Dicke gravity formulated on a $M_4 imes Z_2$ space, introducing a new isometry condition to rederive the theory.

Contribution

It provides a novel geometric perspective on torsion in Brans-Dicke theory within a discrete extra dimension framework, and rederives the theory with a new isometry condition.

Findings

Clarified the geometrical meaning of torsion in this setting

Reformulated Brans-Dicke theory on $M_4 imes Z_2$

Introduced a new isometry condition for rederivation

Abstract

In the Brans-Dicke(BD) theory on $M_{4}\times Z_{2}$ geometry the geometrical meaning of the torsion is clarified. The BD theory on $M_{4}\times Z_{2}$ is rederived by taking into account of a new isometry condition.