Unified description of dark matter at the center and in the halo of the Galaxy

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We consider a self-gravitating ideal fermion gas at nonzero temperature as a model for the Galactic halo. The Galactic halo of mass 2 x 10¹2 Msol enclosed within a radius of 200 kpc implies the existence of a supermassive compact dark object at the Galactic center that is in hydrostatic and thermal equilibrium with the halo. The central object has a maximal mass of 2.3 x 10⁶ Msol within a minimal radius of 18 mpc for fermin masses 15 keV.