On the core-halo distribution of dark matter in galaxies
  We investigate the distribution of dark matter in galaxies by solving the
equations of equilibrium of a self-gravitating system of massive fermions
(`inos') at selected temperatures and degeneracy parameters within general
relativity. Our most general solutions show, as a function of the radius, a
segregation of three physical regimes: 1) an inner core of almost constant
density governed by degenerate quantum statistics; 2) an intermediate region
with a sharply decreasing density distribution followed by an extended plateau,
implying quantum corrections; 3) an asymptotic, $\rho\propto r^{-2}$ classical
Boltzmann regime fulfilling, as an eigenvalue problem, a fixed value of the
flat rotation curves. This eigenvalue problem determines, for each value of the
central degeneracy parameter, the mass of the ino as well as the radius and
mass of the inner quantum core. Consequences of this alternative approach to
the central and halo regions of galaxies, ranging from dwarf to big spirals,
for SgrA*, as well as for the existing estimates of the ino mass, are outlined.
