On Conformally Coupled General Relativity
Bogoliubov Laboratory for Theoretical Physics, JINR, Dubna 141980, Russia
2 Dubna State University, Universitetskaya str. 19, Dubna 141982, Russia
3 Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United Kingdom
Published online: 31 October 2018
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.
© The Authors, published by EDP Sciences, 2018
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