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

Stephane Fay·Thierry Lehner
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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.

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Stephane Fay, Thierry Lehner. 2005-09-16. Bianchi type IX asymptotical behaviours with a massive scalar field: chaos strikes back. https://doi.org/10.1007/s10714-005-0093-0

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