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The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory

Jiulin Du
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Abstract

The idea of Chandrasekhar condition of the equilibrium and stability for a star is revisited in the nonextensive kinetic theory based on Tsallis entropy. A new analytical formula generalizing the Chandrasekhar condition is derived by assuming that the stellar matter is kinetically described by the generalized Maxwell-Boltzmann distribution in Tsallis statistics. It is found that the maximum radiation pressure allowed at the center of a star of a given mass is dependent on the nonextensive parameter q. The Chandrasekhar condition in the Maxwellian sense is recovered from the new condition in the case of q=1.

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Jiulin Du. 2006-07-26. The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory. https://doi.org/10.1016/j.newast.2006.06.004

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