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.

Interdependence between integrable cosmological models with minimal and non-minimal coupling / Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Tronconi, Alessandro; Venturi, Giovanni; Vernov, Sergey Yu. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 33:1(2016), pp. 015004.1-015004.16. [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.
2016
Interdependence between integrable cosmological models with minimal and non-minimal coupling / Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Tronconi, Alessandro; Venturi, Giovanni; Vernov, Sergey Yu. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 33:1(2016), pp. 015004.1-015004.16. [10.1088/0264-9381/33/1/015004]
Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Tronconi, Alessandro; Venturi, Giovanni; Vernov, Sergey Yu
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/538761
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