A Polytropic Approach to Semi-relativistic Isothermal Gas Spheres at Arbitrary Temperature

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 $n$ displays evident correlation with temperature and chemical potential.

Latex, 7 pages, 7 figures. New section introduced (Limits and validity)

References in corpus (3)

• TOPICAL REVIEW: General relativistic boson stars
• Gravitational Stability of Boson Stars
• Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes

Cited by in corpus (2)

• Isotropic stars in general relativity
• A Variable Polytrope Index Applied to Planet and Material Models