Conformally Coupled Induced Gravity with Gradient Torsion

TL;DR

This paper explores a model of gravity where conformal coupling and gradient torsion lead to a dilaton gravity framework, revealing hidden symmetries and constraints on the cosmological constant.

Contribution

It introduces a conformally coupled induced gravity model with gradient torsion that results in a dilaton gravity in Riemann geometry, highlighting symmetry and cosmological implications.

Findings

Conformal coupling with gradient torsion yields dilaton gravity.

In Einstein frame, conformal symmetry is hidden.

A non-zero cosmological constant is not feasible under these constraints.

Abstract

It is found that conformally coupled induced gravity with gradient torsion gives a dilaton gravity in Riemann geometry. In the Einstein frame of the dilaton gravity the conformal symmetry is hidden and a non-vanishing cosmological constant is not plausible due to the constraint of the conformal coupling.