Closed cosmologies with a perfect fluid and a scalar field
Abstract
Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with exponential potential are investigated, using dynamical systems methods. First, we consider the closed Friedmann-Robertson-Walker models, discussing the global dynamics in detail. Next, we investigate Kantowski-Sachs models, for which the future and past attractors are determined. The global asymptotic behaviour of both the Friedmann-Robertson-Walker and the Kantowski-Sachs models is that they either expand from an initial singularity, reach a maximum expansion and thereafter recollapse to a final singularity (for all values of the potential parameter kappa), or else they expand forever towards a flat power-law inflationary solution (when kappa^2<2). As an illustration of the intermediate dynamical behaviour of the Kantowski-Sachs models, we examine the cases of no barotropic fluid, and of a massless scalar field in detail. We also briefly discuss Bianchi type IX models.
Cite
@article{arxiv.gr-qc/0004060,
title = {Closed cosmologies with a perfect fluid and a scalar field},
author = {Alan Coley and Martin Goliath},
journal= {arXiv preprint arXiv:gr-qc/0004060},
year = {2009}
}
Comments
15 pages, 10 figures