paper

On the Asymptotic Behaviour of Cosmological Models in Scalar-Tensor Theories of Gravity

arXiv:gr-qc/9807055 · doi:10.1103/PhysRevD.59.023507

Abstract

We study the qualitative properties of cosmological models in scalar-tensor theories of gravity by exploiting the formal equivalence of these theories with general relativity minimally coupled to a scalar field under a conformal transformation and field redefinition. In particular, we investigate the asymptotic behaviour of spatially homogeneous cosmological models in a class of scalar-tensor theories which are conformally equivalent to general relativistic Bianchi cosmologies with a scalar field and an exponential potential whose qualitative features have been studied previously. Particular attention is focussed on those scalar-tensor theory cosmological models, which are shown to be self-similar, that correspond to general relativistic models that play an important rôle in describing the asymptotic behaviour of more general models (e.g., those cosmological models that act as early-time and late-time attractors).

22 pages, submitted to Phys Rev D

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