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1 | (16) |
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1.1 Problems in Newtonian Cosmology |
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2 | (1) |
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1.2 The Standard Model of Cosmology |
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3 | (6) |
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6 | (1) |
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1.2.2 Big Bang Nucleosynthesis |
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7 | (1) |
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1.2.3 Cosmic Microwave Background |
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8 | (1) |
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1.3 Evidence for New Physics |
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9 | (5) |
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10 | (1) |
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11 | (1) |
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12 | (1) |
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1.3.4 Cosmological Constant Problems |
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13 | (1) |
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1.4 Age and Size of the Universe |
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14 | (2) |
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1.5 Cosmological Models Beyond General Relativity |
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16 | (1) |
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16 | (1) |
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17 | (18) |
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2.1 Scalars, Vectors and Tensors |
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17 | (3) |
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20 | (3) |
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2.2.1 Newtonian Mechanics |
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20 | (1) |
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2.2.2 Relativistic Mechanics |
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21 | (2) |
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2.3 Energy and Momentum in Flat Spacetime |
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23 | (1) |
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2.4 Energy-Momentum Tensor in Flat Spacetime |
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24 | (2) |
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26 | (1) |
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2.6 Field Theory in Flat and Curved Spacetimes |
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27 | (2) |
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29 | (6) |
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32 | (1) |
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33 | (2) |
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3 The Standard Model of Particle Physics |
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35 | (18) |
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37 | (2) |
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38 | (1) |
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38 | (1) |
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39 | (3) |
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39 | (2) |
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41 | (1) |
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42 | (2) |
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3.4 Beyond the Minimal Standard Model of Particle Physics |
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44 | (5) |
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3.4.1 Supersymmetric Models |
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45 | (1) |
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3.4.2 Grand Unification Theories |
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46 | (2) |
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48 | (1) |
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49 | (1) |
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3.5 Probabilities of Reactions Among Particles |
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49 | (4) |
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52 | (1) |
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52 | (1) |
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53 | (18) |
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4.1 Friedmann-Robertson-Walker Metric |
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54 | (2) |
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56 | (1) |
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57 | (5) |
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58 | (1) |
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4.3.2 Matter Dominated Universe |
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58 | (2) |
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4.3.3 Radiation Dominated Universe |
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60 | (1) |
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4.3.4 Vacuum Dominated Universe |
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61 | (1) |
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4.4 Basic Properties of the FRW Metric |
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62 | (2) |
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64 | (1) |
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65 | (3) |
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4.7 Destiny of the Universe |
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68 | (3) |
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70 | (1) |
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70 | (1) |
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5 Kinetics and Thermodynamics in Cosmology |
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71 | (22) |
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71 | (1) |
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5.2 Thermal Equilibrium in the Early Universe |
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71 | (11) |
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71 | (5) |
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76 | (4) |
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5.2.3 Plasma Heating and Entropy Conservation |
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80 | (2) |
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82 | (8) |
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5.3.1 Decoupling and Gershtein-Zeldovich Bound |
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82 | (4) |
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5.3.2 Freezing of Non-relativistic Particles |
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86 | (4) |
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5.4 Neutrino Spectrum and Effective Number of Neutrino Species |
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90 | (3) |
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92 | (1) |
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92 | (1) |
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93 | (34) |
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6.1 Introduction and History |
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93 | (1) |
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6.2 Problems of Pre-inflationary Cosmology |
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94 | (7) |
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6.2.1 Kinematics and Main Features of Inflation |
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95 | (1) |
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96 | (1) |
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96 | (2) |
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6.2.4 Origin of the Cosmological Expansion |
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98 | (1) |
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6.2.5 Smoothing Down the Universe and Creation of Primordial Density Perturbations |
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98 | (1) |
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6.2.6 Magnetic Monopole Problem |
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99 | (2) |
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6.3 Mechanisms of Inflation |
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101 | (4) |
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6.3.1 Canonical Scalar Inflaton with Power Law Potential |
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101 | (2) |
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6.3.2 Other Mechanisms of Inflation |
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103 | (2) |
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105 | (12) |
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6.4.1 Perturbative Production |
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106 | (3) |
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6.4.2 Non-perturbative Phenomena |
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109 | (3) |
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6.4.3 Parametric Resonance |
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112 | (3) |
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6.4.4 Particle Production in a Gravitational Field |
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115 | (2) |
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6.5 Generation of Gravitational Waves |
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117 | (4) |
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6.6 Generation of Density Perturbations |
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121 | (6) |
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125 | (2) |
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127 | (34) |
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127 | (2) |
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7.2 General Features of Baryogenesis Models |
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129 | (3) |
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7.2.1 Sakharov Principles |
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129 | (2) |
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7.2.2 CP Breaking in Cosmology |
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131 | (1) |
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7.3 Models of Baryogenesis |
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132 | (19) |
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7.3.1 Baryogenesis by Heavy Particle Decays |
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133 | (2) |
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7.3.2 Electroweak Baryogenesis |
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135 | (3) |
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7.3.3 Baryo-Through-Leptogenesis |
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138 | (1) |
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7.3.4 Evaporation of Primordial Black Holes |
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139 | (4) |
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7.3.5 Spontaneous Baryogenesis |
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143 | (6) |
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7.3.6 Baryogenesis by Condensed Scalar Baryons |
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149 | (2) |
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7.4 Cosmological Antimatter |
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151 | (10) |
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156 | (1) |
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156 | (5) |
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8 Big Bang Nuclesynthesis |
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161 | (14) |
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8.1 Light Elements in the Universe |
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162 | (1) |
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8.2 Freeze-Out of Weak Interactions |
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163 | (2) |
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8.3 Electron-Positron Annihilation |
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165 | (1) |
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166 | (2) |
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8.5 Primordial Nucleosynthesis |
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168 | (2) |
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170 | (1) |
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8.7 Constraints on New Physics |
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171 | (4) |
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173 | (1) |
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173 | (2) |
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175 | (16) |
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9.1 Observational Evidence |
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176 | (2) |
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9.2 Dark Matter Candidates |
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178 | (5) |
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9.2.1 Lightest Supersymmetric Particle |
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180 | (1) |
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181 | (1) |
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9.2.3 Super-Heavy Particles |
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181 | (1) |
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9.2.4 Primordial Black Holes |
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182 | (1) |
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9.3 Direct Search for Dark Matter Particles |
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183 | (4) |
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9.4 Indirect Search for Dark Matter Particles |
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187 | (4) |
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188 | (1) |
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188 | (3) |
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10 Cosmic Microwave Background |
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191 | (16) |
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10.1 Recombination and Decoupling |
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192 | (1) |
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10.2 Formalism for the Description of Fluctuations |
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193 | (5) |
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10.3 Anisotropies of the CMB |
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198 | (5) |
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10.3.1 Primary Anisotropies |
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198 | (2) |
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10.3.2 Secondary Anisotropies |
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200 | (1) |
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10.3.3 Polarization Anisotropies |
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200 | (3) |
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10.4 Primordial Perturbations |
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203 | (1) |
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10.5 Determination of the Cosmological Parameters |
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204 | (3) |
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205 | (1) |
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205 | (2) |
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207 | (10) |
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11.1 Cosmological Acceleration |
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207 | (6) |
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209 | (2) |
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11.1.2 Acceleration by a Scalar Field |
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211 | (1) |
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212 | (1) |
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11.2 Problem of Vacuum Energy |
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213 | (4) |
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215 | (2) |
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217 | (28) |
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12.1 Density Perturbations in Newtonian Gravity |
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217 | (6) |
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12.2 Density Perturbations in General Relativity |
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223 | (13) |
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12.2.1 Metric and Curvature |
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223 | (1) |
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12.2.2 Energy-Momentum Tensor |
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224 | (1) |
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225 | (2) |
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12.2.4 Evolution of Perturbations in Asymptotically Flat Spacetime |
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227 | (1) |
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12.2.5 Evolution of Perturbations in Cosmology |
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228 | (7) |
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12.2.6 Concluding Remarks |
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235 | (1) |
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12.3 Density Perturbations in Modified Gravity |
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236 | (9) |
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236 | (5) |
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12.3.2 Modified Jeans Instability |
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241 | (2) |
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12.3.3 Effects of Time Dependent Background |
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243 | (1) |
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243 | (1) |
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244 | (1) |
Appendix A Natural Units |
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245 | (2) |
Appendix B Gauge Theories |
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247 | (2) |
Appendix C Field Quantization |
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249 | |