Nonsingular charged black holes à la Palatini

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 à 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.

10 single column pages

References in corpus (2)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Black Hole Masses are Quantized

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