The Density Parameter in Scalar Field Cosmologies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We study the asymptotic behaviour of the density parameters of a self-interacting scalar field and of a perfect fluid simultaneously present in a flat FRW universe. We perform a phase-plane analysis of the complete dynamical system which covers both the general relativistic models and the non-minimal coupling models. We show that if both the coupling function, which defines the theory, and the scalar field potential are positive and monotonous, and asymptotically approach the exponential behaviour there are scaling solutions as global attractors.

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