Scalar Field Cosmologies with Barotropic Matter

Abstract

In this Chapter we shall present a comprehensive study of the qualitative properties of spatially homogeneous models with a barotropic fluid and a non-interacting scalar field with an exponential potential in the class of Bianchi type B models (except for the exceptional case Bianchi VI_-1/9), using the Hewitt and Wainwright formalism [178, 363] . In particular, we shall study the generality of the scaling solutions. We define the governing equations, which are modified from those developed in [363], and discuss the invariant sets and the existence of monotonic functions. We then classify and list all of the equilibrium points, and their local stability is discussed. We present a detailed analysis and conclude with a discussion.