Black Holes with a charged quantum dust core

TL;DR

This paper investigates the quantum properties of a charged dust core within a black hole model, revealing a stable ground state and a specific mass distribution, which may influence our understanding of black hole formation.

Contribution

It introduces a quantum analysis of a charged dust core in a black hole, showing a stable ground state and a mass profile without an inner Cauchy horizon.

Findings

Identified a ground state with size less than the outer horizon.

Derived a mass function increasing linearly with radius.

Suggested implications for black hole collapse endpoints.

Abstract

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 quantising 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.