On Conformally Coupled General Relativity

Andrej Arbuzov,Boris Latosh,V.E Volkova,D.G Levkov,V.A Rubakov,Y.V Zhezher,V.A Matveev

doi:10.1051/epjconf/201819107001

Andrej Arbuzov, Boris Latosh + Show 5 more

Open Access

https://doi.org/10.1051/epjconf/201819107001

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Abstract

A gravity model based on the conformal symmetry is presented. To specify the structure of the general coordinate transformations the Ogievetsky theorem is applied. The nonlinear symmetry realization approach is used. Canonical quantization is performed with the use of reparameterizationinvariant time and the Arnowitt-Deser-Misner foliation. Renormalizability of the constructed quantum gravity model is discussed.

Highlights

General Relativity (GR) is the commonly accepted theory of spacetime
We revisit a specific approach to quantum gravity, which we call Conformally Coupled General Relativity (CCGR) [5]
The approach involves a series of techniques: nonlinear symmetry realizations [6,7,8] which are applied to implement the Ogievetsky theorem [9]; the Hamiltonian formalism [10, 11]; the conformal coupling of matter to gravity [12,13,14]; and the parameterization-invariant time [15,16,17]

Summary

Introduction

General Relativity (GR) is the commonly accepted theory of spacetime. It is verified by many experimental and observational tests at different scales [1, 2]. The approach involves a series of techniques: nonlinear symmetry realizations [6,7,8] which are applied to implement the Ogievetsky theorem [9]; the Hamiltonian formalism [10, 11]; the conformal coupling of matter to gravity [12,13,14]; and the parameterization-invariant time [15,16,17]. This approach was developed in the series of papers [18,19,20]. In the realm of cosmology, one expects to associate time with a cosmological epoch and related it to the cosmological scale factor in accord with the Einstein cosmological principle [29]

Conformally Coupled General Relativity

Quantum Features of CCGR

Conclusions