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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2008 Volume 155, Number 1, Pages 47–61 (Mi tmf6192)

This article is cited in 57 papers

Construction of exact solutions in two-field cosmological models

S. Yu. Vernov

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

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 $w_{\mathrm{DE}}>-1$ while the others correspond to $w_{\mathrm{DE}}<-1$. We demonstrate that the superpotential method is very effective for seeking new exact solutions.

Keywords: string field theory, cosmology, phantom, dark energy, exact solution, superpotential method.

DOI: 10.4213/tmf6192


 English version:
Theoretical and Mathematical Physics, 2008, 155:1, 544–556

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© Steklov Math. Inst. of RAS, 2026