Nonsingular charged black holes \`{a} la Palatini

TL;DR

This paper proposes that quantum effects lead to a discrete spectrum of black hole interior states, resulting in nonsingular charged black holes with a core whose area relates to charge and Planck scale.

Contribution

It introduces a quadratic Palatini gravity model showing charged black holes have a discrete, nonsingular core at Planck density, linking core area to charge and quantization.

Findings

Charged black holes develop a Planck-scale core.

Core area is proportional to charge times Planck area.

Black hole singularities can be avoided with quantized states.

Abstract

We argue that the quantum nature of matter and gravity should lead to a discretization of the allowed states of the matter confined in the interior of black holes. To support and illustrate this idea, we consider a quadratic extension of General Relativity formulated \`{a} la Palatini and show that nonrotating, electrically charged black holes develop a compact core at the Planck density which is nonsingular if the mass spectrum satisfies a certain discreteness condition. We also find that the area of the core is proportional to the number of charges times the Planck area.