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Grand Canonical Ensembles in General Relativity
Klein, D Yang, WS
Klein, D
Yang, WS
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Journal Article
Date
2012-03-01
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10.1007/s11040-011-9103-5
Abstract
We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that, 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. © 2012 Springer Science+Business Media B.V.
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Mathematical Physics Analysis and Geometry
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