The semidegenerate configurations of a selfgravitating system of fermions.

Statistics – Computation

Scientific paper

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Equilibrium Figures: Elementary Particles, Cosmology: General Relativity

Scientific paper

The semidegenerate equilibrium configurations of a selfgravitating system of fermions have usually been treated by an expansion of the thermodynamical quantitites around the fully degenerate values. It is shown how such an expansion is critical in the low density regimes where in general a distribution function far from the degenerate state applies. This point is explicitly illustrated by comparing and contrasting the results based on the first and second order expansion from the fully degenerate values with the exact ones. These exact values have been obtained by a direct computation of the Fermi integrals.

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