Simple analysis of slowly rotating semidegenerate spheroids of fermions

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Degenerate Matter, Fermions, Neutron Stars, Stellar Rotation, White Dwarf Stars, Fermi-Dirac Statistics, Moments Of Inertia, Oblate Spheroids

Scientific paper

The departure from sphericity of a slowly rotating partially degenerate self-gravitating cluster of fermions is calculated using the Clairaut theory. The required dimensionless moment of inertia has been computed using a recently proposed equation of state for semidegenerate fermion matter, based on a trapezoidal approximation to the Fermi-Dirac distribution function. This permits an analytic perturbative calculation of the cluster flattening around the zero-temperature limit, which simplifies considerably other previous approaches.

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