Free Energy of Gravitating Fermions
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We study a system of self-gravitating massive fermions in the framework of the general-relativistic Thomas-Fermi model. We postulate the free energy functional and show that its extremization is equivalent to solving the Einstein's field equations. A self-gravitating fermion gas we then describe by a set of Thomas-Fermi type self-consistency equations.
Cite
@article{arxiv.gr-qc/9706019,
title = {Free Energy of Gravitating Fermions},
author = {Neven Bilic and Raoul Viollier},
journal= {arXiv preprint arXiv:gr-qc/9706019},
year = {2007}
}
Comments
7 pages, LaTex