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