Modern cosmology / Scott Dodelson.

Format:

Book

Author/Creator:

Dodelson, Scott.

Language:

English

Subjects (All):

Cosmology.

Physical Description:

1 online resource (461 pages) : illustrations ; online resource

Place of Publication:

San Diego, Calif. : Academic Press, c2003.

Summary:

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

Contents:

Front Cover; Modern Cosmology; Copyright Page; Contents; Chapter 1. The Standard Model and Beyond; 1.1 The Expanding Universe; 1.2 The Hubble Diagram; 1.3 Big Bang Nucleosynthesis; 1.4 The Cosmic Microwave Background; 1.5 Beyond the Standard Model; 1.6 Summary; Exercises; Chapter 2. The Smooth, Expanding Universe; 2.1 General Relativity; 2.2 Distances; 2.3 Evolution of Energy; 2.4 Cosmic Inventory; 2.5 Summary; Exercises; Chapter 3. Beyond Equilibrium; 3.1 Boltzmann Equation for Annihilation; 3.2 Big Bang Nucleosynthesis; 3.3 Recombination; 3.4 Dark Matter; 3.5 Summary; Exercises

Chapter 4. The Boltzmann Equations4.1 The Boltzmann Equation for the Harmonic Oscillator; 4.2 The Collisionless Boltzmann Equation for Photons; 4.3 Collision Terms: Compton Scattering; 4.4 The Boltzmann Equation for Photons; 4.5 The Boltzmann Equation for Cold Dark Matter; 4.6 The Boltzmann Equation for Baryons; 4.7 Summary; Exercises; Chapter 5. Einstein Equations; 5.1 The Perturbed Ricci Tensor and Scalar; 5.2 Two Components of the Einstein Equations; 5.3 Tensor Perturbations; 5.4 The Decomposition Theorem; 5.5 From Gauge to Gauge; 5.6 Summary; Exercises; Chapter 6. Initial Conditions

6.1 The Einstein-Boltzmann Equations at Early Times6.2 The Horizon; 6.3 Inflation; 6.4 Gravity Wave Production; 6.5 Scalar Perturbations; 6.6 Summary and Spectral Indices; Exercises; Chapter 7. Inhomogeneities; 7.1 Prelude; 7.2 Large Scales; 7.3 Small Scales; 7.4 Numerical Results and Fits; 7.5 Growth Function; 7.6 Beyond Cold Dark Matter; Exercises; Chapter 8. Anisotropies; 8.1 Overview; 8.2 Large-Scale Anisotropies; 8.3 Acoustic Oscillations; 8.4 Diffusion Damping; 8.5 Inhomogeneities to Anisotropies; 8.6 The Anisotropy Spectrum Today; 8.7 Cosmological Parameters; Exercises

Chapter 9. Probes of Inhomogeneities9.1 Angular Correlations; 9.2 Peculiar Velocities; 9.3 Direct Measurements of Peculiar Velocities; 9.4 Redshift Space Distortions; 9.5 Galaxy Clusters; Exercises; Chapter 10. Weak Lensing and Polarization; 10.1 Gravitational Distortion of Images; 10.2 Geodesics and Shear; 10.3 Ellipticity as an Estimator of Shear; 10.4 Weak Lensing Power Spectrum; 10.5 Polarization: The Quadrupole and the Q/U Decomposition; 10.6 Polarization from a Single Plane Wave; 10.7 Boltzmann Solution; 10.8 Polarization Power Spectra; 10.9 Detecting Gravity Waves; Exercises

Chapter 11. Analysis11.1 The Likelihood Function; 11.2 Signal Covariance Matrix; 11.3 Estimating the Likelihood Function; 11.4 The Fisher Matrix: Limits and Applications; 11.5 Mapmaking and Inversion; 11.6 Systematics; Exercises; Appendix A. Solutions to Selected Problems; Appendix B. Numbers; B.1 Physical Constants; B.2 Cosmological Constants; Appendix C. Special Functions; C.1 Legendre Polynomials; C.2 Spherical Harmonics; C.3 Spherical Bessel Functions; C.4 Fourier Transforms; C.5 Miscellaneous; Appendix D. Symbols; Bibliography; Index; Color Plate Section

Notes:

Includes bibliographical references (p. 426-434) and index.

ISBN:

1-281-03624-2

9786611036249

0-08-051197-X