Limiting curvature mimetic gravity for group field theory condensates
arXiv:1812.06171 · doi:10.1103/PhysRevD.99.063505
Abstract
Nonsingular bouncing cosmologies are realized in limiting curvature mimetic gravity by means of a multi-valued potential depending on the d'Alembertian of a scalar field . We determine the functional form of such a potential so as to exactly reproduce the cosmological background dynamics obtained in the group field theory approach to quantum gravity. The original proposal made by Chamseddine and Mukhanov [JCAP 1703, no. 03, 009 (2017)], which was shown to lead to a background dynamics reproducing the effective dynamics of loop quantum cosmology, is here recovered as a particular case for some specific choices of the parameters of our model. We also clarify some issues related to the multi-valuedness of the function , showing in particular that its functional form can be unambiguously reconstructed by imposing appropriate matching conditions at the branching points.
arXiv comment27 pages, 2 figures; v2:added references, matches published version in PRD
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