Quantum improved charged black holes

TL;DR

This paper develops a quantum-corrected Reissner-Nordstrom black hole model incorporating asymptotic safety, demonstrating the resolution of singularities and the emergence of regular cores or weak singularities depending on the scale identification.

Contribution

It introduces a novel quantum improvement scheme for charged black holes using renormalization group flows and Kretschmann scalar-based scale setting, resolving classical singularities.

Findings

Central singularity replaced with a Minkowski-core.

Quantum geometries divided into regular and weakly singular regions.

Boundary geometries exhibit Minkowski, de Sitter, or anti-de Sitter cores.

Abstract

We consider quantum effects of gravitational and electromagnetic fields in spherically symmetric black hole spacetimes in the asymptotic safety scenario. Introducing both the running gravitational and electromagnetic couplings from the renormalization group equations and applying a physically sensible scale identification scheme based on the Kretschmann scalar, we construct a quantum mechanically corrected, or quantum improved Reissner-Nordstrom metric. We study the global structure of the quantum improved geometry and show, in particular, that the central singularity is resolved, being generally replaced with a regular Minkowski-core, where the curvature tensor vanishes. Exploring cases with more general scale identifications, we further find that the space of quantum improved geometries is divided into two regions: one for geometries with a regular Minkowski-core and the other for those with a weak singularity at the center. At the boundary of the two regions, the geometry has either Minkowski-, de Sitter-, or anti-de Sitter(AdS)-core.