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Article Contents

TITLE PAGE

0.PREFACE

1.ELEMENTARY MECHANICS

1.1.Newtonian dynamics in cosmology

1.2.Lagrangian and Hamiltonian formulations

1.3.Conservation of momentum and energy?

2.EULERIAN FLUID DYNAMICS

2.1.Cosmological fluid equations

2.2.Linear instability 1: isentropic fluctuations and Jeans criterion

2.3.Linear instability 2: entropy fluctuations and isocurvature mode

2.4.Vorticity - or potential flow?

3.HOT DARK MATTER

3.1.Tremaine-Gunn bound

3.2.Vlasov equation

3.3.Nonrelativistic evolution in an external gravitational field

3.4.Nonrelativistic evolution including self-gravity

4.RELATIVISTIC COSMOLOGICAL PERTURBATION THEORY

4.1.Introduction

4.1.1.Synopsis

4.1.2.Summary of essential relativity

4.2.Classification of metric perturbations

4.3.Stress-energy tensor

4.4.Synchronous gauge

4.5.Gauge modes

4.6.Poisson gauge

4.7.Physical content of the Einstein equations

4.8.Hamiltonian dynamics of particles

4.9.Lagrangian field equations

REFERENCES