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

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• 作者：St&eacute ; phane Fay ; Thierry Lehner
• 关键词：Anisotropic Bianchi type IX model - Scalar field - Chaos - Asymptotical behaviour
• 刊名：General Relativity and Gravitation
• 出版年：2005
• 出版时间：June 2005
• 年：2005
• 卷：37
• 期：6
• 页码：1097-1117
• 全文大小：1,475 KB

文摘

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 b>0b> 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 the presence of a massive scalar field having a positive energy density.