2010/09/30 by David Klein, Wei-Shih Yang
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP #msc:82B21 #msc:83C15 #msc:83F05
paper · pdf · doi:10.1007/s11040-011-9103-5
published as Mathematical Physics, Analysis and Geometry 15 (2012) 61-83 · This manuscript includes minor additions to the original, that appear in the published version. arXiv admin note: substantial text overlap with arXiv:0810.1776
openalex publication_date 2012/02/07 · arxiv created 2012/02/29 · arxiv updated 2012/03/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.