Contents

• Contents
• List of Figures
• Introduction
• Normal Modes
  • Angular Modes
  • Radial Modes
    • Derivation
    • Interpretation
  • Perturbation Classification
    • Scalar Perturbations
    • Vector Perturbations
    • Tensor Perturbations
• Perturbation Evolution
  • Perturbations
    • Metric Tensor
    • Stress Energy Tensor
  • Radiation Transport
    • Stokes Parameters
    • Scattering Matrix
    • Gravitational Redshift
  • Evolution Equations
    • Angular Moments and Power
    • Free Streaming
    • Boltzmann Equations
    • Scalar Einstein Equations
    • Vector Einstein Equations
    • Tensor Einstein Equations
  • Integral Solutions
• Photon-Baryon Fluid
  • Compression and Vorticity
  • Viscosity and Polarization
  • Entropy and Heat Conduction
  • Dissipation
• Scaling Stress Seeds
  • Causal Anisotropic Stress
  • Metric Fluctuations
  • CMB Anisotropies
• Discussion
• References