
At a Glance
456 Pages
23.5 x 16.51 x 1.91
Hardcover
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Modern Cosmology begins with an introduction to the smooth, homogeneous universe described by a Friedman-Robertson-Walker metric, including careful treatments of dark energy, big bang nucleosynthesis, recombination, and dark matter. From this starting point, the reader is introduced to perturbations about an FRW universe: their evolution with the Einstein-Boltzmann equations, their generation by primordial inflation, and their observational consequences. These consequences include the anisotropy spectrum of the cosmic microwave background (CMB) featuring acoustic peaks and polarization, the matter power spectrum with baryonic wiggles, and their detection via photometric galaxy surveys, redshift distortions, cluster abundances, and weak lensing. The book concludes with a long chapter on data analysis.
Modern Cosmology is the first book to explain in detail the structure of the acoustic peaks in the CMB, the E/B decomposition in polarization which may allow for detection of primordial gravity waves, and the modern analysis techniques used on increasingly large cosmological data sets. Readers will gain the tools needed to work in cosmology and learn how modern observations are rapidly revolutionizing our picture of the universe.
- Provides foundations, calculations, and interpretations which illuminate current thinking in cosmology
- Covers the major advances in cosmology over the past decade
- Includes over 100 unique, pedagogical figures
Industry Reviews
| The Standard Model and Beyond | p. 1 |
| The Expanding Universe | p. 1 |
| The Hubble Diagram | p. 7 |
| Big Bang Nucleosynthesis | p. 9 |
| The Cosmic Microwave Background | p. 13 |
| Beyond the Standard Model | p. 14 |
| Summary | p. 19 |
| Exercises | p. 21 |
| The Smooth, Expanding Universe | p. 23 |
| General Relativity | p. 23 |
| The Metric | p. 24 |
| The Geodesic Equation | p. 28 |
| Einstein Equations | p. 32 |
| Distances | p. 33 |
| Evolution of Energy | p. 37 |
| Cosmic Inventory | p. 40 |
| Photons | p. 40 |
| Baryons | p. 41 |
| Matter | p. 42 |
| Neutrinos | p. 44 |
| Dark Energy | p. 47 |
| Epoch of Matter-Radiation Equality | p. 50 |
| Summary | p. 51 |
| Exercises | p. 53 |
| Beyond Equilibrium | p. 58 |
| Boltzmann Equation for Annihilation | p. 59 |
| Big Bang Nucleosynthesis | p. 62 |
| Neutron Abundance | p. 65 |
| Light Element Abundances | p. 68 |
| Recombination | p. 70 |
| Dark Matter | p. 73 |
| Summary | p. 78 |
| Exercises | p. 80 |
| The Boltzmann Equations | p. 84 |
| The Boltzmann Equation for the Harmonic Oscillator | p. 85 |
| The Collisionless Boltzmann Equation for Photons | p. 87 |
| Zero-Order Equation | p. 93 |
| First-Order Equation | p. 94 |
| Collision Terms: Compton Scattering | p. 95 |
| The Boltzmann Equation for Photons | p. 100 |
| The Boltzmann Equation for Cold Dark Matter | p. 102 |
| The Boltzmann Equation for Baryons | p. 106 |
| Summary | p. 110 |
| Exercises | p. 113 |
| Einstein Equations | p. 117 |
| The Perturbed Ricci Tensor and Scalar | p. 117 |
| Christoffel Symbols | p. 118 |
| Ricci Tensor | p. 119 |
| Two Components of the Einstein Equations | p. 121 |
| Tensor Perturbations | p. 124 |
| Christoffel Symbols for Tensor Perturbations | p. 125 |
| Ricci Tensor for Tensor Perturbations | p. 127 |
| Einstein Equations for Tensor Perturbations | p. 129 |
| The Decomposition Theorem | p. 131 |
| From Gauge to Gauge | p. 132 |
| Summary | p. 135 |
| Exercises | p. 136 |
| Initial Conditions | p. 139 |
| The Einstein-Boltzmann Equations at Early Times | p. 139 |
| The Horizon | p. 142 |
| Inflation | p. 144 |
| A Solution to the Horizon Problem | p. 146 |
| Negative Pressure | p. 151 |
| Implementation with a Scalar Field | p. 151 |
| Gravity Wave Production | p. 155 |
| Quantizing the Harmonic Oscillator | p. 156 |
| Tensor Perturbations | p. 157 |
| Scalar Perturbations | p. 162 |
| Scalar Field Perturbations around a Smooth Background | p. 162 |
| Super-Horizon Perturbations | p. 164 |
| Spatially Flat Slicing | p. 169 |
| Summary and Spectral Indices | p. 170 |
| Exercises | p. 175 |
| Inhomogeneities | p. 180 |
| Prelude | p. 180 |
| Three Stages of Evolution | p. 182 |
| Method | p. 185 |
| Large Scales | p. 189 |
| Super-horizon Solution | p. 189 |
| Through Horizon Crossing | p. 192 |
| Small Scales | p. 194 |
| Horizon Crossing | p. 195 |
| Sub-horizon Evolution | p. 199 |
| Numerical Results and Fits | p. 203 |
| Growth Function | p. 205 |
| Beyond Cold Dark Matter | p. 207 |
| Baryons | p. 208 |
| Massive Neutrinos | p. 209 |
| Dark Energy | p. 210 |
| Exercises | p. 212 |
| Anisotropies | p. 216 |
| Overview | p. 217 |
| Large-Scale Anisotropies | p. 223 |
| Acoustic Oscillations | p. 224 |
| Tightly Coupled Limit of the Boltzmann Equations | p. 224 |
| Tightly Coupled Solutions | p. 227 |
| Diffusion Damping | p. 230 |
| Inhomogeneities to Anisotropies | p. 234 |
| Free Streaming | p. 234 |
| The C[subscript l]'s | p. 239 |
| The Anisotropy Spectrum Today | p. 242 |
| Sachs-Wolfe Effect | p. 242 |
| Small Scales | p. 245 |
| Cosmological Parameters | p. 248 |
| Curvature | p. 249 |
| Degenerate Parameters | p. 251 |
| Distinct Imprints | p. 253 |
| Exercises | p. 256 |
| Probes of Inhomogeneities | p. 261 |
| Angular Correlations | p. 262 |
| Peculiar Velocities | p. 270 |
| Direct Measurements of Peculiar Velocities | p. 271 |
| Redshift Space Distortions | p. 275 |
| Galaxy Clusters | p. 282 |
| Exercises | p. 289 |
| Weak Lensing and Polarization | p. 292 |
| Gravitational Distortion of Images | p. 293 |
| Geodesics and Shear | p. 296 |
| Ellipticity as an Estimator of Shear | p. 300 |
| Weak Lensing Power Spectrum | p. 302 |
| Polarization: The Quadrupole and the Q/U Decomposition | p. 310 |
| Polarization from a Single Plane Wave | p. 313 |
| Boltzmann Solution | p. 320 |
| Polarization Power Spectra | p. 323 |
| Detecting Gravity Waves | p. 326 |
| Exercises | p. 331 |
| Analysis | p. 336 |
| The Likelihood Function | p. 337 |
| Simple Example | p. 337 |
| CMB Likelihood | p. 340 |
| Galaxy Surveys | p. 343 |
| Signal Covariance Matrix | p. 344 |
| CMB Window Functions | p. 345 |
| Examples of CMB Window Functions | p. 347 |
| Window Functions for Galaxy Surveys | p. 350 |
| Summary | p. 354 |
| Estimating the Likelihood Function | p. 356 |
| Karhunen-Loeve Techniques | p. 356 |
| Optimal Quadratic Estimator | p. 362 |
| The Fisher Matrix: Limits and Applications | p. 368 |
| CMB | p. 368 |
| Galaxy Surveys | p. 370 |
| Forecasting | p. 371 |
| Mapmaking and Inversion | p. 375 |
| Systematics | p. 378 |
| Foregrounds | p. 378 |
| Mode Subtraction | p. 384 |
| Exercises | p. 389 |
| Solutions to Selected Problems | p. 392 |
| Numbers | p. 415 |
| Physical Constants | p. 415 |
| Cosmological Constants | p. 416 |
| Special Functions | p. 418 |
| Legendre Polynomials | p. 418 |
| Spherical Harmonics | p. 418 |
| Spherical Bessel Functions | p. 419 |
| Fourier Transforms | p. 420 |
| Miscellaneous | p. 420 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780122191411
ISBN-10: 0122191412
Published: 13th March 2003
Format: Hardcover
Language: English
Number of Pages: 456
Audience: College, Tertiary and University
Publisher: Academic Press
Country of Publication: US
Dimensions (cm): 23.5 x 16.51 x 1.91
Weight (kg): 0.82
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