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].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Coley, A.A. (2003). Closed Models. In: Dynamical Systems and Cosmology. Astrophysics and Space Science Library, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0327-7_6
Download citation
DOI: https://doi.org/10.1007/978-94-017-0327-7_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6329-8
Online ISBN: 978-94-017-0327-7
eBook Packages: Springer Book Archive