A general maximum entropy principle for self-gravitating perfect fluid
General Relativity and Quantum Cosmology
2015-05-30 v3 High Energy Physics - Theory
Abstract
We consider a self-gravitating system consisting of perfect fluid with spherical symmetry. Using the general expression of entropy density, we extremize the total entropy under the constraint that the total number of particles is fixed. We show that extrema of coincides precisely with the relativistic Tolman-Oppenheimer-Volkoff (TOV) equation of hydrostatic equilibrium. Furthermore, we apply the maximum entropy principle to a charged perfect fluid and derive the generalized TOV equation. Our work provides a strong evidence for the fundamental relationship between general relativity and ordinary thermodynamics.
Keywords
Cite
@article{arxiv.1109.2804,
title = {A general maximum entropy principle for self-gravitating perfect fluid},
author = {Sijie Gao},
journal= {arXiv preprint arXiv:1109.2804},
year = {2015}
}
Comments
13 pages, no figure. The arguments have been improved so that the assumption p=p(\rho) is no longer needed