---
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.\
    \
    \
    Published in Classical and Quantum Gravity copyright 2003 IOP Publishing Ltd\
    Classical and Quantum Gravity, Vol 20, 7, 2003.\
    http://www.iop.org
author:
- |
    Stéphane Fay\
    Laboratoire Univers et Théories, CNRS-FRE 2462\
    Observatoire de Paris, F-92195 Meudon Cedex\
    France\
title: Isotropisation of Bianchi class $A$ models with curvature for a minimally coupled scalar tensor theory
---

Introduction {#s0}
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In this paper we study isotropisation of Bianchi class A models with curvature when a minimally coupled and massive scalar field $\phi$ is considered.

Locally, General Relativity (GR) with a perfect fluid seems a good description of our Universe. At cosmological scale, accelerated dynamical expansion is observed[@Per99; @Rie98] and additional fields are 