Black-hole solution without curvature singularity

TL;DR

This paper presents a new exact vacuum solution to Einstein's equations that describes a spherically symmetric black hole without a curvature singularity, suggesting a possible regularization of classical black holes via topology change.

Contribution

It introduces a novel nonsingular black-hole solution on a nonsimply-connected manifold, extending classical solutions and incorporating quantum gravity considerations.

Findings

The solution is spherically symmetric and free of curvature singularities.

It can be viewed as a regularized Schwarzschild black hole.

Quantum effects may enable formation of this nonsingular black hole.

Abstract

An exact solution of the vacuum Einstein field equations over a nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It can be considered to be a regularization of the Schwarzschild solution over a simply-connected manifold, which has a curvature singularity at the center. Spherically symmetric collapse of matter in R^4 may result in this nonsingular black-hole solution, if quantum-gravity effects allow for topology change near the center.