Equilibrium ensembles in general relativity

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Particle Interactions, Relativity, Statistical Mechanics, Canonical Forms, Gravitation Theory, Relativistic Theory, Space-Time Functions

Scientific paper

The author considers a collection of particles that interact only via elastic point 'collisions' in a fixed background spacetime in the presence of some specified external fields. Is is shown that if there exists a time-like vector field that Lie derives the metric and the external fields, then it is possible to formulate sensible covariant analogues of the standard equilibrium ensembles from Newtonian statistical mechanics.

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