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Interdependence between integrable cosmological models with minimal and non-minimal coupling

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arxiv 1509.00590 v2 pith:CMKETC26 submitted 2015-09-02 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords modelsclasscosmologicalcouplingdynamicsframeintegrablenon-minimal
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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 sub-classes of the set of integrable models we have considered.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Integrability of $R^2$ gravity cosmological models with radiation

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Derives general solution to □R=0 in R² gravity plus radiation in flat FLRW and establishes integrability of the scalar-field and conformal chiral versions.

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