Black holes with a charged quantum dust core

To understand the nature of the black holes that exist in the Universe, it is also necessary to study what happens to the (quantum) matter that collapses and forms such objects. In this work, we consider a dust ball with an electrically charged central core and study its quantum spectrum by quantizing the geodesic equation for individual dust particles in the corresponding Reissner-Nordstr"om spacetime. As in the neutral case investigated previously, we find a ground state of the dust ball with the size of a fraction of the outer horizon. Moreover, we determine a self-consistent configuration of layers in the ground state corresponding to an effective mass function that increases linearly with the areal radius and has no inner Cauchy horizon. We then briefly speculate on the possible phenomenological consequences for the endpoint of the gravitational collapse.