The Standard Model and Beyond / 1: |
The Expanding Universe / 1.1: |
The Hubble Diagram / 1.2: |
Big Bang Nucleosynthesis / 1.3: |
The Cosmic Microwave Background / 1.4: |
Beyond the Standard Model / 1.5: |
Summary / 1.6: |
Exercises |
The Smooth, Expanding Universe / 2: |
General Relativity / 2.1: |
The Metric / 2.1.1: |
The Geodesic Equation / 2.1.2: |
Einstein Equations / 2.1.3: |
Distances / 2.2: |
Evolution of Energy / 2.3: |
Cosmic Inventory / 2.4: |
Photons / 2.4.1: |
Baryons / 2.4.2: |
Matter / 2.4.3: |
Neutrinos / 2.4.4: |
Dark Energy / 2.4.5: |
Epoch of Matter-Radiation Equality / 2.4.6: |
Beyond Equilibrium / 2.5: |
Boltzmann Equation for Annihilation / 3.1: |
Neutron Abundance / 3.2: |
Light Element Abundances / 3.2.2: |
Recombination / 3.3: |
Dark Matter / 3.4: |
The Boltzmann Equations / 3.5: |
The Boltzmann Equation for the Harmonic Oscillator / 4.1: |
The Collisionless Boltzmann Equation for Photons / 4.2: |
Zero-Order Equation / 4.2.1: |
First-Order Equation / 4.2.2: |
Collision Terms: Compton Scattering / 4.3: |
The Boltzmann Equation for Photons / 4.4: |
The Boltzmann Equation for Cold Dark Matter / 4.5: |
The Boltzmann Equation for Baryons / 4.6: |
The Perturbed Ricci Tensor and Scalar / 4.7: |
Christoffel Symbols / 5.1.1: |
Ricci Tensor / 5.1.2: |
Two Components of the Einstein Equations / 5.2: |
Tensor Perturbations / 5.3: |
Christoffel Symbols for Tensor Perturbations / 5.3.1: |
Ricci Tensor for Tensor Perturbations / 5.3.2: |
Einstein Equations for Tensor Perturbations / 5.3.3: |
The Decomposition Theorem / 5.4: |
From Gauge to Gauge / 5.5: |
Initial Conditions / 5.6: |
The Einstein-Boltzmann Equations at Early Times / 6.1: |
The Horizon / 6.2: |
Inflation / 6.3: |
A Solution to the Horizon Problem / 6.3.1: |
Negative Pressure / 6.3.2: |
Implementation with a Scalar Field / 6.3.3: |
Gravity Wave Production / 6.4: |
Quantizing the Harmonic Oscillator / 6.4.1: |
Scalar Perturbations / 6.4.2: |
Scalar Field Perturbations around a Smooth Background / 6.5.1: |
Super-Horizon Perturbations / 6.5.2: |
Spatially Flat Slicing / 6.5.3: |
Summary and Spectral Indices / 6.6: |
Inhomogeneities / 7: |
Prelude / 7.1: |
Three Stages of Evolution / 7.1.1: |
Method / 7.1.2: |
Large Scales / 7.2: |
Super-horizon Solution / 7.2.1: |
Through Horizon Crossing / 7.2.2: |
Small Scales / 7.3: |
Horizon Crossing / 7.3.1: |
Sub-horizon Evolution / 7.3.2: |
Numerical Results and Fits / 7.4: |
Growth Function / 7.5: |
Beyond Cold Dark Matter / 7.6: |
Massive Neutrinos / 7.6.1: |
Anisotropies / 7.6.3: |
Overview / 8.1: |
Large-Scale Anisotropies / 8.2: |
Acoustic Oscillations / 8.3: |
Tightly Coupled Limit of the Boltzmann Equations / 8.3.1: |
Tightly Coupled Solutions / 8.3.2: |
Diffusion Damping / 8.4: |
Inhomogeneities to Anisotropies / 8.5: |
Free Streaming / 8.5.1: |
The C[subscript l]'s / 8.5.2: |
The Anisotropy Spectrum Today / 8.6: |
Sachs-Wolfe Effect / 8.6.1: |
Cosmological Parameters / 8.6.2: |
Curvature / 8.7.1: |
Degenerate Parameters / 8.7.2: |
Distinct Imprints / 8.7.3: |
Probes of Inhomogeneities / 9: |
Angular Correlations / 9.1: |
Peculiar Velocities / 9.2: |
Direct Measurements of Peculiar Velocities / 9.3: |
Redshift Space Distortions / 9.4: |
Galaxy Clusters / 9.5: |
Weak Lensing and Polarization / 10: |
Gravitational Distortion of Images / 10.1: |
Geodesics and Shear / 10.2: |
Ellipticity as an Estimator of Shear / 10.3: |
Weak Lensing Power Spectrum / 10.4: |
Polarization: The Quadrupole and the Q/U Decomposition / 10.5: |
Polarization from a Single Plane Wave / 10.6: |
Boltzmann Solution / 10.7: |
Polarization Power Spectra / 10.8: |
Detecting Gravity Waves / 10.9: |
Analysis / 11: |
The Likelihood Function / 11.1: |
Simple Example / 11.1.1: |
CMB Likelihood / 11.1.2: |
Galaxy Surveys / 11.1.3: |
Signal Covariance Matrix / 11.2: |
CMB Window Functions / 11.2.1: |
Examples of CMB Window Functions / 11.2.2: |
Window Functions for Galaxy Surveys / 11.2.3: |
Estimating the Likelihood Function / 11.2.4: |
Karhunen-Loeve Techniques / 11.3.1: |
Optimal Quadratic Estimator / 11.3.2: |
The Fisher Matrix: Limits and Applications / 11.4: |
CMB / 11.4.1: |
Forecasting / 11.4.2: |
Mapmaking and Inversion / 11.5: |
Systematics / 11.6: |
Foregrounds / 11.6.1: |
Mode Subtraction / 11.6.2: |
Solutions to Selected Problems / A: |
Numbers / B: |
Physical Constants / B.1: |
Cosmological Constants / B.2: |
Special Functions / C: |
Legendre Polynomials / C.1: |
Spherical Harmonics / C.2: |
Spherical Bessel Functions / C.3: |
Fourier Transforms / C.4: |
Miscellaneous / C.5: |
The Standard Model and Beyond / 1: |
The Expanding Universe / 1.1: |
The Hubble Diagram / 1.2: |