  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.
