Towards black-hole singularity-resolution in the Lorentzian gravitational path integral

TL;DR

This paper explores how higher-order curvature terms in the Lorentzian gravitational path integral may resolve black-hole singularities, contrasting with Einstein gravity which lacks such a mechanism.

Contribution

It demonstrates that higher-order curvature terms can enable singularity resolution via destructive interference in quantum gravity, unlike Einstein gravity.

Findings

Higher-order curvature terms facilitate singularity resolution.

Einstein action alone does not resolve singularities.

The mechanism works in both spherically symmetric and axisymmetric cases.

Abstract

Quantum Gravity is expected to resolve the singularities of classical General Relativity. Based on destructive interference of singular spacetime-configurations in the path integral, we find that higher-order curvature terms may allow to resolve black-hole singularities both in the spherically symmetric and axisymmetric case. In contrast, the Einstein action does not provide a dynamical mechanism for singularity-resolution through destructive interference of these configurations.