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Closed Models

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Part of the Astrophysics and Space Science Library book series (ASSL, volume 291)

Abstract

Cosmological models with positive spatial curvature are also of interest [96] . These models have attracted less attention since they are more complicated mathematically. Positive-curvature FRW models [171, 350, 361, 363], Kantowski-Sachs models [71] and Bianchi type IX models [216, 345, 351, 363] have been studied using qualitative methods, although more rigorous analyses using bounded variables have not been carried out until recently [96, 155]. The Bianchi type IX models are known to have very complicated dynamics, exhibiting the characteristics of chaos [182, 363], and are hence beyond the scope of the present analysis. In this Chapter we shall discuss the qualitative properties of the positive-curvature FRW models and the Kantowski-Sachs models with a barotropic fluid and a non-interacting scalar field with an exponential potential [96].

Keywords

State Space Equilibrium Point Scalar Field Perfect Fluid Bianchi Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  1. 1.Dalhousie UniversityHalifaxCanada

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