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Construction of exact solutions in two-field cosmological models

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Abstract

We construct a dark energy model with a phantom scalar field, a standard scalar field, and a polynomial potential inspired by string field theory. We find a two-parameter set of exact solutions of the Friedmann equations. We find a potential satisfying the conditions obtained from the string theory and such that at large times, some of the exact solutions correspond to the state parameter wDE > −1 while the others correspond to wDE < −1. We demonstrate that the superpotential method is very effective for seeking new exact solutions.

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Correspondence to S. Yu. Vernov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 47–61, April, 2008.

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Vernov, S.Y. Construction of exact solutions in two-field cosmological models. Theor Math Phys 155, 544–556 (2008). https://doi.org/10.1007/s11232-008-0045-4

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