Black-hole solution without curvature singularity and closed timelike curves

TL;DR

This paper presents an exact, regular black-hole solution on a nonsimply-connected manifold that avoids curvature singularities and closed timelike curves, serving as a regularization of the Reissner-Nordstrom solution.

Contribution

It introduces a novel regular black-hole solution with specific topological properties that eliminate singularities and causality violations.

Findings

No curvature singularities in the solution

Absence of closed timelike curves

Regularization of Reissner-Nordstrom solution

Abstract

With a prescribed Coulomb-type energy-momentum tensor, an exact solution of the Einstein field equations over a nonsimply-connected manifold is presented. This spherically symmetric solution has neither curvature singularities nor closed timelike curves. It can be considered to be a regularization of the singular Reissner-Nordstrom solution over a simply-connected manifold.