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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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We construct general solutions for flat Friedmann universes filled with a scalar field in induced gravity models and models including the Hilbert--Einstein curvature term plus a scalar field conformally coupled to gravity. The corresponding models are connected to minimally coupled models through the combination of a conformal transformation and a transformation of the scalar field. We demonstrate the possibility to construct general solutions for such cosmological models, solving only linear differential equations. The explicit forms of the self-interaction potentials and the corresponding general solutions for integrable models will be presented. The report is based on A.Yu. Kamenshchik, E.O. Pozdeeva, A. Tronconi, G. Venturi, S.Yu. Vernov, Class. Quant. Grav. 31 (2014) 105003, arXiv:1312.3540