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24 April 2024
 
  » arxiv » 1509.0590

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Interdependence between integrable cosmological models with minimal and non-minimal coupling
A.Yu. Kamenshchik ; E.O. Pozdeeva ; A. Tronconi ; G. Venturi ; S.Yu. Vernov ;
Date 2 Sep 2015
AbstractWe 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 sub-classes of the set of integrable models we have considered.
Source arXiv, 1509.0590
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