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Closed cosmologies with a perfect fluid and a scalar field | | Alan Coley
; Martin Goliath
; | | Date: |
19 Apr 2000 | | Journal: | Phys.Rev. D62 (2000) 043526 | | Subject: | gr-qc | | 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. | | Source: | arXiv, gr-qc/0004060 | | Services: | Forum | Review | PDF | Favorites | |
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