Modern Cosmology

ISBN-10: 0122191412
ISBN-13: 9780122191411
Edition: 2002
Authors: Scott Dodelson
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Description: An advanced text for senior undergraduates, graduate students and physical scientists in fields outside cosmology. This is a self-contained book focusing on the linear theory of the evolution of density perturbations in the universe, and the  More...

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Book details

List price: $97.95
Copyright year: 2002
Publisher: Elsevier Science & Technology Books
Publication date: 3/13/2003
Binding: Hardcover
Pages: 440
Size: 6.50" wide x 9.25" long x 0.75" tall
Weight: 2.046
Language: English

An advanced text for senior undergraduates, graduate students and physical scientists in fields outside cosmology. This is a self-contained book focusing on the linear theory of the evolution of density perturbations in the universe, and the anisotropies in the cosmic microwave background.

Scott Dodelson is Head of the Theoretical Astrophysics Group at Fermilab and Associate Professor in the Department of Astronomy and Astrophysics at the University of Chicago. He received in Ph.D. at Columbia University and was a research fellow at Harvard before coming to Fermilab and Chicago. He is the author of more than seventy papers on cosmology, most of which focused on the cosmic microwave background and the large scale structure of the universe.

The Standard Model and Beyond
The Expanding Universe
The Hubble Diagram
Big Bang Nucleosynthesis
The Cosmic Microwave Background
Beyond the Standard Model
Summary
Exercises
The Smooth, Expanding Universe
General Relativity
The Metric
The Geodesic Equation
Einstein Equations
Distances
Evolution of Energy
Cosmic Inventory
Photons
Baryons
Matter
Neutrinos
Dark Energy
Epoch of Matter-Radiation Equality
Summary
Exercises
Beyond Equilibrium
Boltzmann Equation for Annihilation
Big Bang Nucleosynthesis
Neutron Abundance
Light Element Abundances
Recombination
Dark Matter
Summary
Exercises
The Boltzmann Equations
The Boltzmann Equation for the Harmonic Oscillator
The Collisionless Boltzmann Equation for Photons
Zero-Order Equation
First-Order Equation
Collision Terms: Compton Scattering
The Boltzmann Equation for Photons
The Boltzmann Equation for Cold Dark Matter
The Boltzmann Equation for Baryons
Summary
Exercises
Einstein Equations
The Perturbed Ricci Tensor and Scalar
Christoffel Symbols
Ricci Tensor
Two Components of the Einstein Equations
Tensor Perturbations
Christoffel Symbols for Tensor Perturbations
Ricci Tensor for Tensor Perturbations
Einstein Equations for Tensor Perturbations
The Decomposition Theorem
From Gauge to Gauge
Summary
Exercises
Initial Conditions
The Einstein-Boltzmann Equations at Early Times
The Horizon
Inflation
A Solution to the Horizon Problem
Negative Pressure
Implementation with a Scalar Field
Gravity Wave Production
Quantizing the Harmonic Oscillator
Tensor Perturbations
Scalar Perturbations
Scalar Field Perturbations around a Smooth Background
Super-Horizon Perturbations
Spatially Flat Slicing
Summary and Spectral Indices
Exercises
Inhomogeneities
Prelude
Three Stages of Evolution
Method
Large Scales
Super-horizon Solution
Through Horizon Crossing
Small Scales
Horizon Crossing
Sub-horizon Evolution
Numerical Results and Fits
Growth Function
Beyond Cold Dark Matter
Baryons
Massive Neutrinos
Dark Energy
Exercises
Anisotropies
Overview
Large-Scale Anisotropies
Acoustic Oscillations
Tightly Coupled Limit of the Boltzmann Equations
Tightly Coupled Solutions
Diffusion Damping
Inhomogeneities to Anisotropies
Free Streaming
The C[subscript l]'s
The Anisotropy Spectrum Today
Sachs-Wolfe Effect
Small Scales
Cosmological Parameters
Curvature
Degenerate Parameters
Distinct Imprints
Exercises
Probes of Inhomogeneities
Angular Correlations
Peculiar Velocities
Direct Measurements of Peculiar Velocities
Redshift Space Distortions
Galaxy Clusters
Exercises
Weak Lensing and Polarization
Gravitational Distortion of Images
Geodesics and Shear
Ellipticity as an Estimator of Shear
Weak Lensing Power Spectrum
Polarization: The Quadrupole and the Q/U Decomposition
Polarization from a Single Plane Wave
Boltzmann Solution
Polarization Power Spectra
Detecting Gravity Waves
Exercises
Analysis
The Likelihood Function
Simple Example
CMB Likelihood
Galaxy Surveys
Signal Covariance Matrix
CMB Window Functions
Examples of CMB Window Functions
Window Functions for Galaxy Surveys
Summary
Estimating the Likelihood Function
Karhunen-Loeve Techniques
Optimal Quadratic Estimator
The Fisher Matrix: Limits and Applications
CMB
Galaxy Surveys
Forecasting
Mapmaking and Inversion
Systematics
Foregrounds
Mode Subtraction
Exercises
Solutions to Selected Problems
Numbers
Physical Constants
Cosmological Constants
Special Functions
Legendre Polynomials
Spherical Harmonics
Spherical Bessel Functions
Fourier Transforms
Miscellaneous

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