Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.193..173y&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 193, no. 2, July 1992, p. 173-183.
Astronomy and Astrophysics
Astrophysics
Gases, Neutron Stars, Polytropic Processes, Spheres, Stellar Structure, Adiabatic Conditions, Boundary Conditions, Stellar Models
Scientific paper
As shown by Chieze (1987), polytropic gas spheres imbedded in an ambient medium with a given pressure exhibit a relation between the mass and radius similar to isothermal gas spheres, provided n(polytropic index) is greater than 3 or less than -1. Further investigation is made of the polytropic spheres. Not only the relation between radius and external pressure, but the relation between the central density (rhoc) and the mass (M) is similar to isothermal spheres and neutron star models. Dynamical calculation shows that the stability of polytropic spheres is lost at the configuration which corresponds to the first peak in the rhoc - M relation, as is the case for neutron star models in general relativity.
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