Self-gravitating Newtonian models of fermions with anisotropy and cutoff
  energy in their distribution function
  Systems of self-gravitating fermions constitute a topic of great interest in
astrophysics, due to the wide field of applications. In this paper, we consider
the gravitational equilibrium of spherically symmetric Newtonian models of
collisionless semidegenerate fermions. We construct numerical solutions by
taking into account the effects of the anisotropy in the distribution function
and considering the prevalence of tangential velocity. In this way, our models
generalize the solutions obtained for isotropic Fermi-Dirac statistics. We also
extend the analysis to equilibrium configurations in the classical regime and
in the fully degenerate limit, recovering, for different levels of anisotropy,
hollow equilibrium configurations obtained in Maxwellian regime. Moreover, in
the limit of full degeneracy, we find a direct expression relating the
anisotropy with the mass of the particles composing the system.
