Stable exact solutions in cosmological models with two scalar fields |
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| Authors: | I Ya Aref’eva N V Bulatov S Yu Vernov |
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| Institution: | 1.Steklov Mathematical Institute,RAS,Moscow,Russia;2.Lomonosov Moscow State University,Moscow,Russia;3.Skobeltsyn Institute of Nuclear Physics,Lomonosov Moscow State University,Moscow,Russia |
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| 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. |
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