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

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dc.creatorBrenig, L.
dc.creatorFigueiredo, A.
dc.creatorGunzig, E.
dc.creatorFilho, T. M. Rocha
dc.creatorSaa, Alberto
dc.date2003-05-02
dc.date.accessioned2026-07-07T03:27:49Z
dc.date.available2026-07-07T03:27:49Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0305011
dc.identifierhttp://arxiv.org/abs/gr-qc/0305011
dc.identifierInt.J.Theor.Phys. 42 (2003) 1153-1161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34581
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStability properties and asymptotics for N non-minimally coupled scalar fields cosmology
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