Conformally Coupled Induced Gravity with Gradient Torsion

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.

8pages, LaTeX, no figure, to be appeared in PRD

References in corpus (7)

• Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
• Conformal dynamics of quantum gravity with torsion
• Phase Transition in Conformally Induced Gravity with Torsion
• Conformal Couplings in Induced Gravity
• Einstein-Cartan theory of gravity revisited
• The Constraint of a General Effective Potential in Vector Torsion Coupled Conformally Induced Gravity
• Higher derivative quantum gravity with torsion in the conformally Self-Dual Limit

Cited by in corpus (5)

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• Scalar torsion and a new symmetry of general relativity
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity