Genre
Journal ArticleDate
2012-03-01Author
Klein, DYang, WS
Subject
Relativistic Gibbs stateFermi coordinates
Grand canonical ensemble
Ideal gas
Anti-de Sitter space
De-Sitter space
Einstein static universe
Kerr space-time
Permanent link to this record
http://hdl.handle.net/20.500.12613/6011
Metadata
Show full item recordDOI
10.1007/s11040-011-9103-5Abstract
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.Citation to related work
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http://dx.doi.org/10.34944/dspace/5993