Stability properties and asymptotics for N non-minimally coupled scalar fields cosmology

Details Stability properties and asymptotics for N non-minimally coupled scalar fields cosmology Stability properties and asymptotics for N non-minimally coupled scalar fields cosmology

2003-05-02

arxiv.org/abs/gr-qc/0305011v1

Int.J.Theor.Phys. 42 (2003) 1153-1161

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

We consider here the dynamics of some homogeneous and isotropic cosmological models with $N$ interacting classical scalar fields non-minimally coupled to the spacetime curvature, as an attempt to generalize some recent results obtained for one and two scalar fields. We show that a Lyapunov function can be constructed under certain conditions for a large class of models, suggesting that chaotic behavior is ruled out for them. Typical solutions tend generically to the empty de Sitter (or Minkowski) fixed points, and the previous asymptotic results obtained for the one field model remain valid. In particular, we confirm that, for large times and a vanishing cosmological constant, even in the presence of the extra scalar fields, the universe tends to an infinite diluted matter dominated era.

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