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Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology

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arxiv 1606.04260 v2 pith:RU7RA3SN submitted 2016-06-14 gr-qc astro-ph.CO

Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology

classification gr-qc astro-ph.CO
keywords modelscoupledgeneralintegrablejordanminimallyscalarsolutions
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We study integrable models in the Bianchi I metric case with scalar fields minimally and non-minimally coupled with gravity and the correspondence between their general solutions. Using the model with a minimally coupled scalar field and a constant potential as an example, we demonstrate how to obtain the general solutions of the corresponding models in the Jordan frame.

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