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© 2003

Dynamical Systems and Cosmology

Book

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. A. A. Coley
    Pages 1-6
  3. A. A. Coley
    Pages 7-26
  4. A. A. Coley
    Pages 27-43
  5. A. A. Coley
    Pages 59-66
  6. A. A. Coley
    Pages 67-81
  7. A. A. Coley
    Pages 82-95
  8. A. A. Coley
    Pages 96-105
  9. A. A. Coley
    Pages 106-115
  10. A. A. Coley
    Pages 116-139
  11. A. A. Coley
    Pages 140-155
  12. A. A. Coley
    Pages 156-173
  13. Back Matter
    Pages 174-195

About this book

Introduction

Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations.
In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action.
This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.

Keywords

Cosmology EFE Gravity Potential Relativity Universe general relativity

Authors and affiliations

  1. 1.Dalhousie UniversityHalifaxCanada

Bibliographic information

Reviews

From the reviews:

"This is a very useful textbook about mathematical cosmology as an application of the theory of dynamical systems. The author takes care about the several notions of self-similarity – physical versus geometrical ones. … The 380 references give a good source for further-reading." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1055 (6), 2005)