  We propose a unified model for dark matter haloes and central galactic
objects as a self-gravitating system of semidegenerated fermions in thermal
equilibrium. We consider spherical symmetry and then we solve the equations of
gravitational equilibrium using the Fermi integrals in a dimensionless manner,
obtaining the density profile and velocity curve. We also obtain scaling laws
for the observables of the system and show that, for a wide range of our
parameters, our model is consistent with the so called universality of the
surface density of dark matter.
