Conformally Coupled General Relativity

TL;DR

This paper revisits a gravity model based on Ogievetsky theorem, employing Noether's theorem and nonlinear representations, with canonical quantization and correction of previous errors, to explore quantum features of conformally coupled general relativity.

Contribution

It introduces a refined quantum gravity model based on Ogievetsky theorem, correcting past mistakes and applying advanced quantization techniques.

Findings

Quantum features of the model are discussed.

Corrections to previous formulations are provided.

The model's structure aligns with conformally coupled gravity principles.

Abstract

Gravity model developed in the series of papers \cite{Arbuzov:2009zza,Arbuzov:2010fz,Pervushin:2011gz} is revisited. Model is based on Ogievetsky theorem that specifies structure of general coordinate transformation group. The theorem is implemented in the context of Noether theorem with the use of nonlinear representation technique. Canonical quantization is performed with the use of reparametrization-invariant time and ADM foliation techniques. Basic quantum features of the models are discussed. Mistakes occurred in the previous papers are corrected.