Bianchi type IX asymptotical behaviours with a massive scalar field: chaos strikes back

Abstract

We use numerical integrations to study the asymptotical behaviour of a homogeneous but anisotropic Bianchi type IX model in General Relativity with a massive scalar field. As it is well known, for a Brans-Dicke theory, the asymptotical behaviour of the metric functions is ruled only by the Brans-Dicke coupling constant with respect to the value -3/2. In this paper we examine if such a condition still exists with a massive scalar field. We also show that, contrary to what occurs for a massless scalar field, the singularity oscillatory approach may exist in presence of a massive scalar field having a positive energy density.

31 pages, 7 figures (low resolution)

References in corpus (4)

• The past attractor in inhomogeneous cosmology
• Scalar fields properties for flat galactic rotation curves
• Isotropisation of Generalized Scalar-Tensor theory plus a massive scalar field in the Bianchi type I model
• Isotropisation of Bianchi class A models with a minimally coupled scalar field and a perfect fluid

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