Lectures were given at the Italian Society of Gravitational Physics Summer School "Relativistic Cosmology: Theory and Observation" in Como, Italy (May 2000); preprint no. RAP-290. astro-ph/0102402
Abstract: This set of lectures provides an overview of the basic theory and phenomenology of the cosmic microwave background. Topics include a brief historical review; the physics of temperature and polarization fluctuations; acoustic oscillations of the primordial plasma; the space of inflationary cosmological models; current and potential constraints on these models from the microwave background; and constraints on inflation. These lectures were given at the Italian Society of Gravitational Physics Summer School "Relativistic Cosmology: Theory and Observation" in Como, Italy (May 2000).
Table of Contents
INTRODUCTION
A BRIEF HISTORICAL PERSPECTIVE
PHYSICS OF TEMPERATURE FLUCTUATIONS
Causes of temperature fluctuations
A formal description
Tight coupling
Free streaming
Diffusion damping
The resulting power spectrum
PHYSICS OF POLARIZATION FLUCTUATIONS
Stokes parameters
Thomson scattering and the quadrupolar source
Harmonic expansions and power spectra
ACOUSTIC OSCILLATIONS
An oscillator equation
Initial conditions
Coherent oscillations
The effect of baryons
COSMOLOGICAL MODELS AND CONSTRAINTS
A space of models
Physical quantities
Power spectrum degeneracies
Idealized experiments
Current constraints and upcoming experiments
MODEL-INDEPENDENT COSMOLOGICAL CONSTRAINTS
Flatness
Coherent acoustic oscillations
Adiabatic primordial perturbations
Gaussian primordial perturbations
Tensor or vector perturbations
Reionization redshift
Magnetic Fields
The topology of the universe
FINALE: TESTING INFLATIONARY COSMOLOGY
REFERENCES