A description of semidegenerate self-gravitating spheres of fermions

Details A description of semidegenerate self-gravitating spheres of fermions A description of semidegenerate self-gravitating spheres of fermions

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...390...88m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 390, no. 1, May 1, 1992, p. 88-95. Research supported by DGICYT.

Statistics

5

Fermi-Dirac Statistics, Fermions, Gravitation, Relativity, Analytic Functions, Approximation, Astronomical Models, Elementary Particles

Scientific paper

The structure of a sphere of self-gravitating fermions, at low constant temperature is analyzed, substituting the usual Fermi-Dirac distribution function by a trapezoidal approximation. This model coincides with the exact result up to the first correction in the low-temperature expansion while leading to finite equilibrium configurations; thus, it represents an alternative to the use of the habitual energy - or density - cutoffs. Analytical expressions are obtained for magnitudes such as total energy, radius of the sphere, and local values for the density and pressure.

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