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Universe 2018, 4(2), 38;

Conformally Coupled General Relativity

Bogoliubov Laboratory for Theoretical Physics, JINR, Dubna 141980, Russia
Dubna State University, Department of Fundamental Problems of Microworld Physics, Universitetskaya str. 19, Dubna 141982, Russia
Author to whom correspondence should be addressed.
Received: 28 December 2017 / Revised: 7 February 2018 / Accepted: 7 February 2018 / Published: 14 February 2018
(This article belongs to the Special Issue Progress in Cosmology in the Centenary of the 1917 Einstein Paper)
PDF [815 KB, uploaded 26 February 2018]


The gravity model developed in the series of papers (Arbuzov et al. 2009; 2010), (Pervushin et al. 2012) is revisited. The model is based on the Ogievetsky theorem, which specifies the structure of the general coordinate transformation group. The theorem is implemented in the context of the Noether theorem with the use of the nonlinear representation technique. The canonical quantization is performed with the use of reparametrization-invariant time and Arnowitt– Deser–Misner foliation techniques. Basic quantum features of the models are discussed. Mistakes appearing in the previous papers are corrected. View Full-Text
Keywords: models of quantum gravity; spacetime symmetries; higher spin symmetry models of quantum gravity; spacetime symmetries; higher spin symmetry
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Arbuzov, A.; Latosh, B. Conformally Coupled General Relativity. Universe 2018, 4, 38.

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