We consider the relation between exact solutions of cosmological models having minimally and non-minimally coupled scalar fields. This is done for a particular class of solvable models which, in the Einstein frame, have potentials depending on hyperbolic functions and in the Jordan frame, where the non-minimal coupling is conformal, possess a relatively simple dynamics. We show that a particular model in this class can be generalized to the cases of closed and open Friedmann universes and still exhibits a simple dynamics. Further we illustrate the conditions for the existences of bounces in some subclasses of the set of integrable models we have considered.
Kamenchtchik, A., Pozdeeva, E.O., Tronconi, A., Venturi, G., Vernov, S.Y. (2016). Interdependence between integrable cosmological models with minimal and non-minimal coupling. CLASSICAL AND QUANTUM GRAVITY, 33(1), 1-16 [10.1088/0264-9381/33/1/015004].
Interdependence between integrable cosmological models with minimal and non-minimal coupling
KAMENCHTCHIK, ALEXANDR;TRONCONI, ALESSANDRO;VENTURI, GIOVANNI;
2016
Abstract
We consider the relation between exact solutions of cosmological models having minimally and non-minimally coupled scalar fields. This is done for a particular class of solvable models which, in the Einstein frame, have potentials depending on hyperbolic functions and in the Jordan frame, where the non-minimal coupling is conformal, possess a relatively simple dynamics. We show that a particular model in this class can be generalized to the cases of closed and open Friedmann universes and still exhibits a simple dynamics. Further we illustrate the conditions for the existences of bounces in some subclasses of the set of integrable models we have considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
