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Isotropisation of Bianchi class A models with curvature for a minimally coupled scalar tensor theory

Research paper by Stephane Fay

Indexed on: 19 Sep '03Published on: 19 Sep '03Published in: General Relativity and Quantum Cosmology



Abstract

We look for necessary isotropisation conditions of Bianchi class $A$ models with curvature in presence of a massive and minimally coupled scalar field when a function $\ell$ of the scalar field tends to a constant, diverges monotonically or with sufficiently small oscillations. Isotropisation leads the metric functions to tend to a power or exponential law of the proper time $t$ and the potential respectively to vanish as $t^{-2}$ or to a constant. Moreover, isotropisation always requires late time accelerated expansion and flatness of the Universe.