Resolution of Reissner-Nordstr\"om singularities by higher-derivative corrections

TL;DR

This paper introduces a higher-derivative extension of Einstein-Maxwell theory that produces regular black hole and charge solutions, removing the classical singularities at the core while matching known solutions at weak coupling.

Contribution

It presents an exact static spherically symmetric solution that regularizes Reissner-Nordstr"om singularities using higher-derivative corrections, a novel approach in gravitational theory.

Findings

Regularized black hole solutions without singularities

Exact solutions reducing to Reissner-Nordstr"om at weak coupling

Potential implications for quantum gravity and singularity resolution

Abstract

We describe a non-minimal higher-derivative extension of Einstein-Maxwell theory in which electrically-charged black holes and point charges have globally regular gravitational and electromagnetic fields. We provide an exact static spherically symmetric solution of this theory that reduces to the Reissner-Nordstr\"om one at weak coupling, but in which the singularity at $r=0$ is regularized for arbitrary mass and (non-vanishing) charge. We discuss the properties of these solutions and comment on the physical significance of our results.