| Preface | 5 |
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| 1 The start of the paths | 13 |
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| 1.1 Newton’s absolute space and time | 13 |
| 1.2 Light versus absolute space and time | 14 |
| 1.3 Space-time events and intervals | 16 |
| 1.4 Space-time measurements and Lorentz transformations | 18 |
| 1.5 The Minkowski diagram | 20 |
| 2 General Relativity: apparent acceleration of gravity | 27 |
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| 2.1 Gravitation as an apparent force | 27 |
| 2.2 Principle of Equivalence | 28 |
| 2.3 Lagrangians and motion of bodies | 29 |
| 2.4 Integrals of motion | 30 |
| 3 Tests of General Relativity | 32 |
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| 3.1 The Schwarzschild metric and the gravitational redshift | 32 |
| 3.3 Orbits in General Relativity | 36 |
| 3.2 Deflection of light | 42 |
| 4 Curved space in cosmology | 48 |
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| 4.1 Non-Euclidean geometries | 48 |
| 4.2 Curvature of 3-space | 51 |
| 5 Finite versus infinite universe in space and time | 61 |
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| 5.1 Observation of an isotropic universe | 61 |
| 5.2 A finite universe in time | 61 |
| 5.3 The age of the universe via its “oldest objects” | 62 |
| 5.4 Observational discovery of the expanding universe | 66 |
| 5.5 Problems with the Hubble constant and the age of the universe | 74 |
| 6 Cosmology and the “first appearance” of dark energy | 78 |
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| 6.1 A first formulation of dark energy: Einstein’s finite static universe | 78 |
| 6.2 Cosmological redshift and Friedmann’s evolving universes | 80 |
| 6.3 The Hubble constant in the Friedmann standard model | 83 |
| 7 Einstein’s equations, criticai density and dark energy | 89 |
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| 7.1 Introduction | 89 |
| 7.2 The path to Einstein equations with the cosmological constant | 89 |
| 7.3 Interpretations of the cosmological constant | 97 |
| 8 Modei Universes | 100 |
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| 8.1 Friedmann equation | 100 |
| 8.2 The Einstein-de Sitter universe (critical density Friedmann case with no dark energy) | 102 |
| 8.3 The de Sitter universe (introduction dark energy with no matter) | 105 |
| 8.4 The Concordance Model (both matter and dark energy so k = 0) | 105 |
| 8.5 Testing via the small scale Newtonian limit | 109 |
| 8.6 Newtonian cosmology and the “k” parameter | 112 |
| 9 Dark energy discovered | 115 |
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| 9.1 The era of zero-Lambda models | 115 |
| 9.2 Cosmological angular-diameter distance estimates | 116 |
| 9.3 Cosmological standard candle distance estimates | 120 |
| 9.4 More luminous standard candles | 121 |
| 9.5 Observational discovery of dark energy | 124 |
| 9.6 Type Ia supernovae redshifts and distances vs uniform expansion | 126 |
| 9.7 Could it be some problem with the standard candle method? | 130 |
| 9.8 Modified gravity theories | 132 |
| 10 Relics: cosmic microwave background (CMB) photons and neutrinos | 135 |
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| 10.1 The prediction and discovery of the CMB | 135 |
| 10.2 The Big Bang components | 136 |
| 10.3 The early radiation-dominated universe | 139 |
| 10.4 Properties of cosmic microwave background radiation | 142 |
| 10.5 Why a CMB thermal spectrum? | 146 |
| 10.6 Relic neutrinos and O | 157 |
| 11 Baryonic matter | 160 |
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| 11.1 Why matter and not also anti-matter? | 160 |
| 11.2 Big Bang Nucleosynthesis prediction and processes | 163 |
| 11.3 Baryon nucleosynthesis abundances and cosmological implications | 165 |
| 11.4 The baryon content of cosmic systems | 167 |
| 11.5 The Lyman alpha forest | 168 |
| 12 Discovering dark matter | 173 |
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| 12.1 Dark matter in the Milky Way disk near the Sun | 173 |
| 12.2 Dark matter discovery in clusters via the Virial Theorem | 176 |
| 12.3 Subclusters in rich Clusters of galaxies | 181 |
| 12.4 Dark matter discovery in Clusters via the Cluster gas | 183 |
| 12.5 Dark matter in the Milky Way disk and its halo | 187 |
| 12.6 Dark matter discovery inside disk galaxies via rotation curves | 192 |
| 12.7 Dark matter discovery in the Local Group | 194 |
| 12.8 Dark matter in binary Galaxy systems | 197 |
| 12.9 Dark matter discovery via gravitational lensing | 200 |
| 12.10 Dark matter in different scales | 214 |
| 12.11 The importance and nature of dark matter versus baryonic matter | 216 |
| 13 Dark matter and baryonic structures | 218 |
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| 13.1 Newton’s con
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