Black Hole Statistical Mechanics and The Angular Velocity Ensemble
General Relativity and Quantum Cosmology
2012-03-30 v1 High Energy Physics - Theory
Abstract
An new ensemble - the angular velocity ensemble - is derived using Jaynes' method of maximising entropy subject to prior information constraints. The relevance of the ensemble to black holes is motivated by a discussion of external parameters in statistical mechanics and their absence from the Hamiltonian of general relativity. It is shown how this leads to difficulty in deriving entropy as a function of state and recovering the first law of thermodynamics from the microcanonical and canonical ensembles applied to black holes.
Cite
@article{arxiv.1203.6542,
title = {Black Hole Statistical Mechanics and The Angular Velocity Ensemble},
author = {Mitchell Thomson and Charles C. Dyer},
journal= {arXiv preprint arXiv:1203.6542},
year = {2012}
}