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

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

Scientific paper

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

Scientific paper

10.1111/j.1365-2966.2011.18758.x

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.

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