Lecture notes based on the lectures on cosmological dynamics given by E. Bertschinger at Les Houches in August 1993
astro-ph/9503125

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Table of Contents

• PREFACE
• ELEMENTARY MECHANICS
• Newtonian dynamics in cosmology
• Lagrangian and Hamiltonian formulations
• Conservation of momentum and energy?
• EULERIAN FLUID DYNAMICS
• Cosmological fluid equations
• Linear instability 1: isentropic fluctuations and Jeans criterion
• Linear instability 2: entropy fluctuations and isocurvature mode
• Vorticity - or potential flow?
• HOT DARK MATTER
• Tremaine-Gunn bound
• Vlasov equation
• Nonrelativistic evolution in an external gravitational field
• Nonrelativistic evolution including self-gravity
• RELATIVISTIC COSMOLOGICAL PERTURBATION THEORY
• Introduction
• Synopsis
• Summary of essential relativity
• Classification of metric perturbations
• Stress-energy tensor
• Synchronous gauge
• Gauge modes
• Poisson gauge
• Physical content of the Einstein equations
• Hamiltonian dynamics of particles
• Lagrangian field equations
• REFERENCES