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

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.

20 pages

References in corpus (1)

• Isotropisation of Generalized Scalar-Tensor theory plus a massive scalar field in the Bianchi type I model

Cited by in corpus (2)

• Scalar fields properties for flat galactic rotation curves
• Isotropisation of Bianchi class A models with a minimally coupled scalar field and a perfect fluid