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Dynamical Systems and Cosmology

  • Book
  • © 2003

Overview

Authors:
  1. A. A. Coley

    1. Dalhousie University, Halifax, Canada

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • A. A. Coley
    Pages 1-6

  3. The Theory of Dynamical Systems

    • A. A. Coley
    Pages 7-26

  4. Spatially Homogeneous Models

    • A. A. Coley
    Pages 27-43

  5. Scalar Field Cosmologies with Barotropic Matter

    • A. A. Coley
    Pages 44-58

  6. Physical Applications

    • A. A. Coley
    Pages 59-66

  7. Closed Models

    • A. A. Coley
    Pages 67-81

  8. Multiple Scalar Fields

    • A. A. Coley
    Pages 82-95

  9. Scalar Tensor Theories of Gravity

    • A. A. Coley
    Pages 96-105

  10. Magnetic Field Cosmology

    • A. A. Coley
    Pages 106-115

  11. String Cosmology

    • A. A. Coley
    Pages 116-139

  12. Anisotropic and Curved String Cosmologies

    • A. A. Coley
    Pages 140-155

  13. M-Theory

    • A. A. Coley
    Pages 156-173

  14. Back Matter

    Pages 174-195
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Keywords

About this book

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.

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)

Authors and Affiliations

  • Dalhousie University, Halifax, Canada

    A. A. Coley

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