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Table of Contents
Intro; Preface; Acknowledgements; Contents; Introduction; Part I Standard Cosmology; 1 The Expanding Universe and the Big Bang; 1.1 Observations; 1.2 Newtonian Approximation for the Expansion of Space; 1.3 Time Evolution of the Scale Factor for a Linear Equation of State; 1.4 Universe with Several Matter Components; 1.5 A Quick History of Experimental Observations and Discoveries; 1.6 The Cosmological Constant; 2 Relativistic Theory; 2.1 The FLRW Metric and the Friedmann Equation; 2.2 Types of Matter and Resulting Expansion of the Universe; 2.3 Cosmological Evolution Formulas
5.4 Particle Species in the Radiation Dominated (R.D). Era5.5 Neutrino Decoupling; 6 Big Bang Nucleosynthesis and Recombination; 6.1 Recombination Temperature; 6.2 Big Bang Nucleosynthesis; 6.3 Dependence of BBN Primordial Abundances on Parameters; 6.4 Observations and Comparison with BBN; 6.5 Summary of the Thermal History; 7 The Cosmic Microwave Background Radiation (CMBR) Anisotropy; 7.1 The CMBR and Its Anisotropy; 7.2 Kinematics of the CMBR; 7.3 Perturbation Theory for CMBR; 7.4 Effect of Density Perturbations on the CMBR
8 Problems to Be Solved by Inflation and How They Are Solved in Inflationary Models8.1 Problems with Standard Cosmology Before Inflation; 8.2 The Paradigm of Inflation; 8.3 Inflationary Solutions to Cosmological Problems; 8.4 Inflation with a Scalar Field; 9 Slow-Roll Inflation; 9.1 Slow-Roll Analysis; 9.2 General (Non-slow Roll) Formulas; 9.3 Slow Roll Conditions; 9.4 Exact Solution for Inflation; 9.5 Variants of Inflation; 9.5.1 Initial Conditions for Inflation; 10 Reheating and Baryogenesis; 10.1 Standard Reheating; 10.2 New Reheating and Preheating
10.3 Entropy Production and the Number of e-Folds10.4 Baryogenesis; 10.5 Relics; 11 Fluctuations in Inflation and Matching with Experimental Data; 11.1 Scales During Inflation; 11.2 Scalar Fluctuations During Inflation; 11.3 Quantization of Scalar Perturbations; 11.4 Scalar-Gravity Fluctuations; 11.5 Power Spectrum and Contact with Experimental Data; 11.6 Primordial Tensor Perturbations; 11.7 Constraints on Inflationary Models; Part II Elements of String Theory; 12 Extra Dimensions and Kaluza-Klein; 12.1 KK Metrics; 12.2 Fields with Spin; 12.3 The Original Kaluza-Klein Theory
5.4 Particle Species in the Radiation Dominated (R.D). Era5.5 Neutrino Decoupling; 6 Big Bang Nucleosynthesis and Recombination; 6.1 Recombination Temperature; 6.2 Big Bang Nucleosynthesis; 6.3 Dependence of BBN Primordial Abundances on Parameters; 6.4 Observations and Comparison with BBN; 6.5 Summary of the Thermal History; 7 The Cosmic Microwave Background Radiation (CMBR) Anisotropy; 7.1 The CMBR and Its Anisotropy; 7.2 Kinematics of the CMBR; 7.3 Perturbation Theory for CMBR; 7.4 Effect of Density Perturbations on the CMBR
8 Problems to Be Solved by Inflation and How They Are Solved in Inflationary Models8.1 Problems with Standard Cosmology Before Inflation; 8.2 The Paradigm of Inflation; 8.3 Inflationary Solutions to Cosmological Problems; 8.4 Inflation with a Scalar Field; 9 Slow-Roll Inflation; 9.1 Slow-Roll Analysis; 9.2 General (Non-slow Roll) Formulas; 9.3 Slow Roll Conditions; 9.4 Exact Solution for Inflation; 9.5 Variants of Inflation; 9.5.1 Initial Conditions for Inflation; 10 Reheating and Baryogenesis; 10.1 Standard Reheating; 10.2 New Reheating and Preheating
10.3 Entropy Production and the Number of e-Folds10.4 Baryogenesis; 10.5 Relics; 11 Fluctuations in Inflation and Matching with Experimental Data; 11.1 Scales During Inflation; 11.2 Scalar Fluctuations During Inflation; 11.3 Quantization of Scalar Perturbations; 11.4 Scalar-Gravity Fluctuations; 11.5 Power Spectrum and Contact with Experimental Data; 11.6 Primordial Tensor Perturbations; 11.7 Constraints on Inflationary Models; Part II Elements of String Theory; 12 Extra Dimensions and Kaluza-Klein; 12.1 KK Metrics; 12.2 Fields with Spin; 12.3 The Original Kaluza-Klein Theory