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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COSMOLOGICAL DYNAMICS

Edmund Bertschinger


Department of Physics
MIT, Room 6-207
Cambridge, MA 02139, USA.


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

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