Dynamical Systems and Cosmology

2004
ISBN: 978-1-4020-1403-1
Verlag: Springer Netherlands

Buch, Englisch, Band 291, 195 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 477 g

Reihe: Astrophysics and Space Science Library

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Coley, A. A.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Naturwissenschaften Astronomie Astrophysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

I. Introduction.- II. The Theory of Dynamical Systems.- III. Spatially Homogeneous Models.- IV. Scalar Field Cosmologies with Barotropic Matter.- V. Physical Applications.- VI. Closed Models.- VII. Multiple Scalar Fields.- VIII. Scalar Tensor Theories of Gravity.- IX. Magnetic Field Cosmology.- X. String Cosmology.- XI. Anisotropic and Curved String Cosmologies.- XII. M-Theory.- Acknowledgments.- References.