Stable Exact Solutions in Cosmological Models with Two Scalar Fields

Details Stable Exact Solutions in Cosmological Models with Two Scalar Fields Stable Exact Solutions in Cosmological Models with Two Scalar Fields

2009-11-26

arxiv.org/abs/0911.5105v3

Theor.Math.Phys.163:788-803,2010

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, v3:typos corrected, references added

Scientific paper

10.1007/s11232-010-0063-x

The stability of isotropic cosmological solutions for two-field models in the Bianchi I metric is considered. We prove that the sufficient conditions for the Lyapunov stability in the Friedmann-Robertson-Walker metric provide the stability with respect to anisotropic perturbations in the Bianchi I metric and with respect to the cold dark matter energy density fluctuations. Sufficient conditions for the Lyapunov stability of the isotropic fixed points of the system of the Einstein equations have been found. We use the superpotential method to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for string field theory inspired cosmological models.

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