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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.
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Previews available in: English
Subjects
Differential Equations, Mathematics, Physics, Cosmology, Differentiable dynamical systems, Relativity Theory Classical and Quantum Gravitation, Ordinary Differential Equations, Mathematical and Computational Physics Theoretical, Applications of Mathematics, Observations and Techniques AstronomyShowing 1 featured edition. View all 1 editions?
Edition | Availability |
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1
Dynamical Systems and Cosmology
2003, Springer Netherlands
electronic resource /
in English
9048163293 9789048163298
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Mode of access: World Wide Web.
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