Classical resolution of black hole singularities via wormholes

TL;DR

This paper demonstrates that in some extended theories of General Relativity, wormholes can resolve black hole singularities by ensuring geodesic completeness and analyzing wave scattering, challenging the traditional link between curvature divergences and singularities.

Contribution

It provides a classical resolution of black hole singularities using wormholes in extended gravity theories, separating curvature divergences from true space-time singularities.

Findings

Wormholes can make space-time geodesically complete.

Wave scattering confirms the non-singular nature of the wormhole.

Curvature divergences do not necessarily imply singularities.

Abstract

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic completeness, the behavior of time-like congruences going through the divergent region, and by means of scattering of waves off the wormhole. This provides an example of the logical independence between curvature divergences and space-time singularities, concepts very often identified with each other in the literature.ns of curvature divergences in the context of space-time singularities.