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dc.creatorKlein, D
dc.creatorYang, WS
dc.date.accessioned2021-02-04T21:21:41Z
dc.date.available2021-02-04T21:21:41Z
dc.date.issued2012-03-01
dc.identifier.issn1385-0172
dc.identifier.issn1572-9656
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5993
dc.identifier.other899YL (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/6011
dc.description.abstractWe 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.
dc.format.extent61-83
dc.language.isoen
dc.relation.haspartMathematical Physics Analysis and Geometry
dc.relation.isreferencedbySpringer Science and Business Media LLC
dc.subjectRelativistic Gibbs state
dc.subjectFermi coordinates
dc.subjectGrand canonical ensemble
dc.subjectIdeal gas
dc.subjectAnti-de Sitter space
dc.subjectDe-Sitter space
dc.subjectEinstein static universe
dc.subjectKerr space-time
dc.titleGrand Canonical Ensembles in General Relativity
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.1007/s11040-011-9103-5
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-04T21:21:39Z
refterms.dateFOA2021-02-04T21:21:42Z


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