This 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. The book is divided into three 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, the hot big bang model, cosmological perturbation theory, cosmic microwave background anisotropies, lensing and evidence for dark matter, and inflation. Part 3 describes extensions of this model and opens up current research in the field: scalar-tensor theories, supersymmetry, 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 the latest developments. The book provides details of all derivations and leads the student up to the level of research articles.
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amplitude angular anisotropies assume Astrophys baryogenesis baryon bosons brane Chapter comoving components conﬁguration consider constraints coordinates cosmic microwave background cosmic shear cosmological constant curvature dark matter decoupling deﬁned deﬁnition depends derivative described dilaton dimensions dynamics effects Einstein equations energy evolution expansion fermions ﬁeld theory ﬁnd ﬁrst ﬁxed ﬂat ﬂuctuations ﬂuid Friedmann equation FriedmannILemaitre function galaxies geodesic given grand uniﬁcation gravitational lensing gravitational potential gravitational waves Higgs ﬁeld Hubble Hubble constant implies inﬂation inﬂationary inﬂaton initial conditions integral interaction KleinIGordon equation Lagrangian mass metric Minkowski modes modiﬁed neutrinos observations obtained oscillations parameters particles perturbations photons Phys physics power spectrum primordial proﬁle quantities quantum radiation radius redshift regime relation satisﬁes scalar ﬁeld scale factor Section slow-roll solution space space-time spatial spherical standard model string theory structure super-Hubble supergravity supersymmetry symmetry takes the form temperature term transformation Universe vacuum vector