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arXiv · 1009.3846

Grand canonical ensembles in general relativity

David Klein·Wei-Shih Yang
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Abstract

We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that formalism we derive ideal gas laws, and show how they depend on the geometry of the particular space-times. A systematic method for calculating Newtonian limits is given for a class of these space-times, which is illustrated for Kerr space-time. In addition, we prove uniqueness of the infinite volume Gibbs measure, and absence of phase transitions for a class of interaction potentials in anti-de Sitter space-time.

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David Klein, Wei-Shih Yang. 2010-09-20. Grand canonical ensembles in general relativity. https://doi.org/10.1007/s11040-011-9103-5

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