A Polytropic Approach to Semi-relativistic Isothermal Gas Spheres at Arbitrary Temperature
Cosmology and Nongalactic Astrophysics
2012-01-24 v2 General Relativity and Quantum Cosmology
Abstract
We use standard polynomial expansion technique to show the existence of a relation between polytropic model and the description of gas spheres at finite temperature. A numerical analysis is made concerning the obtained perturbative parameters. It is shown that there is a correspondence between polytropic and gas sphere thermal models for fermions and bosons. For instance, the polytropic index displays evident correlation with temperature and chemical potential.
Cite
@article{arxiv.1007.1994,
title = {A Polytropic Approach to Semi-relativistic Isothermal Gas Spheres at Arbitrary Temperature},
author = {Claudio M. G. de Sousa and Evandro A. de Araujo},
journal= {arXiv preprint arXiv:1007.1994},
year = {2012}
}
Comments
Latex, 7 pages, 7 figures. New section introduced (Limits and validity)