Primordial CosmologyThis 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. |
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adiabatic amplitude anisotropies assume Astrophys baryons bosons brane Chapter comoving components consider constraints coordinates cosmic microwave background cosmological constant coupling curvature dark matter decomposed decoupling deduce defined density contrast depends described dimensions dynamics effects Einstein equations energy expansion fermions fluctuations fluid Friedmann equation Friedmann-Lemaître galaxies gauge invariant geodesic given gravitational potential gravitational waves Higgs Hubble constant Hubble radius implies inflation inflaton initial conditions integral interactions Klein-Gordon equation Lagrangian lensing linear mass metric modes neutrinos observations obtain oscillations particles perturbations phase photons Phys physics power spectrum primordial quantities quantum radiation radius redshift regime relation Sachs-Wolfe satisfy scalar field scale factor Section slow-roll solution space space-time spatial spherical standard model string theory sub-Hubble super-Hubble supernovæ supersymmetry symmetry takes the form temperature term transformation transition Universe vacuum vector velocity wavelength WMAP