This book is a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational cosmology and general relativity, and goes on to discuss Friedmann models, the Hubble constant, models with a cosmological constant, singularities, the early universe, inflation and quantum cosmology. This book is rounded off with a chapter on the distant future of the universe. The book is written as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, astronomers, applied mathematicians and mathematical physicists.
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This is a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. It begins with a brief overview of observational cosmology and general relativity and goes on to discuss Friedmann models, the Hubble constant, models with a cosmological constant, singularities, the early universe, inflation and quantum cosmology.
Preface; 1. Some basic concepts and an overview of cosmology; 2. The Robertson–Walker metric and the Einstein equations; 3. The Friedmann models; 4. The Hubble constant and the deceleration parameter; 5. Models with a cosmological constant; 6. Singularities in cosmology; 7. The early universe; 8. The very early universe and inflation; 9. Quantum cosmology; 10. The distant future of the universe; 11. Some recent developments; References; Index.
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