Abstract
Consider a collection of particles that interact only via elastic point ‘collisions’ in a fixed background spacetime in the presence of some specified external fields. 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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Kandrup, H.E. Equilibrium ensembles in general relativity. Astrophys Space Sci 103, 293–300 (1984). https://doi.org/10.1007/BF00653744
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DOI: https://doi.org/10.1007/BF00653744