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TMF, 2010, Volume 163, Number 3, Pages 475–494 (Mi tmf6516)  

This article is cited in 26 scientific papers (total in 26 papers)

Stable exact solutions in cosmological models with two scalar fields

I. Ya. Aref'evaa, N. V. Bulatovb, S. Yu. Vernovc

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider the stability of isotropic solutions for two-field models in the Bianchi I metric. We prove that the sufficient conditions for Lyapunov stability in the Friedmann–Robertson–Walker metric ensure the stability under anisotropic perturbations in the Bianchi I metric and also under perturbations of the energy density for cold dark matter. We find sufficient conditions for the Lyapunov stability of isotropic fixed points for the system of Einstein equations. 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 models related to string field theory.

Keywords: cosmology, stability, Bianchi metric


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English version:
Theoretical and Mathematical Physics, 2010, 163:3, 788–803

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Citation: I. Ya. Aref'eva, N. V. Bulatov, S. Yu. Vernov, “Stable exact solutions in cosmological models with two scalar fields”, TMF, 163:3 (2010), 475–494; Theoret. and Math. Phys., 163:3 (2010), 788–803

Citation in format AMSBIB
\by I.~Ya.~Aref'eva, N.~V.~Bulatov, S.~Yu.~Vernov
\paper Stable exact solutions in cosmological models with two scalar fields
\jour TMF
\yr 2010
\vol 163
\issue 3
\pages 475--494
\jour Theoret. and Math. Phys.
\yr 2010
\vol 163
\issue 3
\pages 788--803

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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