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

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

2003-09-19

arxiv.org/abs/gr-qc/0309096v1

Class.Quant.Grav.20:1363-1378,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

10.1088/0264-9381/20/7/308

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.

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