The Cosmic Microwave Background

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-09-15
  • Publisher: Cambridge University Press
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Supplemental Materials

What is included with this book?


The cosmic microwave background (CMB) is the radiation left over from the Big Bang. Recent analysis of the fluctuations in this radiation has given us valuable insights into our Universe and its parameters. Examining the theory of CMB and recent developments, this textbook starts with a brief introduction to modern cosmology and its main successes, followed by a thorough derivation of cosmological perturbation theory. It then explores the generation of initial fluctuations by inflation. The Boltzmann equation governs the evolution of CMB anisotropies and polarization is derived using the total angular momentum method. Cosmological parameter estimation and the lensing of CMB fluctuations and spectral distortions are also discussed. This textbook is the first to contain a full derivation of the theory of CMB anisotropies and polarization. Ideal for graduate students and researchers in this field, it includes end-of-chapter exercises, and solutions to selected exercises are provided.

Table of Contents

Prefacep. ix
The homogeneous and isotropic universep. 1
Homogeneity and isotropyp. 2
The background geometry of the Universep. 3
Recombination and decouplingp. 14
Nucleosynthesisp. 27
Inflationp. 42
Perturbation theoryp. 57
Introductionp. 57
Gauge-invariant perturbation variablesp. 58
The perturbation equationsp. 70
Simple examplesp. 80
Light-like geodesics and CMB anisotropiesp. 87
Power spectrap. 92
Final remarksp. 102
Initial conditionsp. 105
Scalar field perturbationsp. 106
Generation of perturbations during inflationp. 111
Mixture of dust and radiation revisitedp. 121
CMB anisotropiesp. 134
Introduction to kinetic theoryp. 134
The Liouville equation in a perturbed FL universep. 139
The energy-momentum tensorp. 143
The ultra-relativistic limit, the Liouville equation for massless particlesp. 149
The Boltzmann equationp. 156
Silk dampingp. 169
The full system of perturbation equationsp. 171
CMB polarization and the total angular momentum approachp. 176
Polarization dependent Thomson scatteringp. 177
Total angular momentum decompositionp. 183
The spectrap. 188
The small-scale limit and the physical meaning of [epsilon] and Bp. 194
The Boltzmann equationp. 199
Cosmological parameter estimationp. 210
Introductionp. 210
The physics of parameter dependencep. 211
Reionizationp. 216
CMB datap. 217
Statistical methodsp. 224
Degeneraciesp. 245
Complementary observationsp. 251
Sourcesp. 265
Lensing and the CMBp. 278
An introduction to lensingp. 278
The lensing power spectrump. 282
Lensing of the CMB temperature anisotropiesp. 283
Lensing of the CMB polarizationp. 290
Non-Gaussianityp. 300
Other second-order effectsp. 301
The CMB spectrump. 304
Collisional processes in the CMBp. 304
A chemical potentialp. 318
The Sunyaev-Zel'dovich effectp. 320
Fundamental constants, units and relationsp. 326
General relativityp. 330
Perturbationsp. 335
Special functionsp. 340
Entropy production and heat fluxp. 357
Mixturesp. 362
Statistical utensilsp. 364
Approximation for the tensor C[subscript l] spectrump. 370
Boltzmann equation in a universe with curvaturep. 375
The solutions of some exercisesp. 384
Referencesp. 392
Indexp. 399
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