http://arxiv.org/abs/1902.03014
A canonical analysis of RG improved action of the Einstein-Hilbert functional is performed. The gravitational and cosmological constants as function of the space-time coordinates are treated as external non-geometrical fields. Dirac’s constraint analysis is performed, in the general case, up to secondary constraints. The constraints are second class and, in general, the problem appears to be technically complicated. This fact suggests studying the Dirac’s constraint analysis of the related Brans-Dicke theory, which shows the Poisson Brackets between Hamiltonian-Hamiltonian constraints do not close. A simplified FLRW minisuperspace model based on the RG improved Einstein Hilbert action contains Bouncing and Emergent Universes for values of K=-1, 0, 1.
G. Gionti
Mon, 11 Feb 19
34/51
Comments: 11 pages, 1 figure, proceedings of the conference “DICE2018” 17-21 September 2018, Castiglioncello (LI)