The book provides an extensive survey of all the physics necessary to understand the current developments in the field of fundamental cosmology, as well as an overview of the observational data and methods. It will help students to get into research by providing definitions and main techniques and ideas discussed today.
This book aims at giving the basis of primordial cosmology. The book is self-contained in the sense that all the elements for the derivations of the presented results are given. It can be used as a textbook to study cosmology. It is devided in 3 parts. Part 1 summarises the fundamentals in theoretical physics needed in cosmology (general relativity, field theory, particle physics). Part 2 describes the standard model of cosmology and includes cosmological solutions of Einstein equations, hot big bang model, cosmological perturbation theory, cosmic microwave background anisotropies, lensing and evidences for dark matter, and inflation. Part 3 describes extensions of this model and opens up to today's research in the field: scalar-tensor theories, supersymetry, the cosmological constant problem and acceleration of the universe, topology of the universe, grand unification and baryogenesis, topological defects and phase transitions, string inspired cosmology including branes and latest developments. The book provides details of all derivations and leads the student up to the level of research articles.
Introduction; PART I: OVERVIEW OF THE THEORETICAL BASIS; 1. General Relativity; 2. Overview of Particle Physics; PART II: THE MODERN STANDARD COSMOLOGICAL MODEL; 3. The Homogeneous Universe; 4. The Standard Big Bang Model; 5. The Inhomogeneous Universe; 6. The Cosmic Microwave Background; 7. Gravitational Lensing and Dark Matter; 8. Inflation; PART III: BEYOND THE STANDARD MODELS; 9. Grand Unification and Baryogenesis; 10. Phase Transitions and Topological Defects; 11. Extensions of the Theoretical Framework; 12. Cosmological Extensions; 13. String Cosmology; A. Numerical Values; B. Special Functions; C. Useful Cosmological Quantities