http://arxiv.org/abs/1402.0756
Context. We investigate the gravitational equilibrium of spherically symmetric Newtonian fermions with anisotropic distribution function. Aims. We construct numerical models that generalize solutions obtained for isotropic Fermi – Dirac distribution function with an energy cutoff, taking into account prevalence of tangential velocity. Methods. We solve the equations of the gravitational equilibrium, both to describe the density profiles and to investigate the behavior of the motion of particles by computing the components of stress tensor. Results. We obtain the hollow equilibrium configurations for particular levels of anisotropy and we also furnish a relation between the anisotropy and the mass of particles.
Wed, 5 Feb 14
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