Closed cosmologies with a perfect fluid and a scalar field

被引:26
作者
Coley, A [1 ]
Goliath, M
机构
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
[2] Univ Stockholm, Dept Phys, S-11385 Stockholm, Sweden
来源
PHYSICAL REVIEW D | 2000年 / 62卷 / 04期
关键词
D O I
10.1103/PhysRevD.62.043526
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with an 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 behavior 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 behavior of the Kantowski-Sachs models, we examine the cases of no baryotropic fluid, and of a massless scalar field in detail. We also briefly discuss Bianchi type IX models.
引用
收藏
页码:art. no. / 043526
页数:10
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