Exact Rotating Magnetic Traversable Wormholes satisfying the Energy Conditions

TL;DR

This paper presents an exact solution for a rotating, magnetized wormhole supported by normal matter that satisfies all energy conditions, potentially enabling natural wormhole formation.

Contribution

It introduces a new exact Einstein solution for a rotating wormhole with a dilatonic and electromagnetic field, avoiding exotic matter requirements.

Findings

The wormhole satisfies all energy conditions.

Test particles can traverse the wormhole safely.

The solution features a naked ring singularity with a regular throat.

Abstract

In this work we wonder if there is a way to generate a wormhole (WH) in nature using "normal" matter. In order to give a first answer to this question, we study a massless scalar field coupled to an electromagnetic one (dilatonic field) with an arbitrary coupling constant, as source of gravitation. We obtain an exact solution of the Einstein equations using this source that represents a magnetized rotating WH. This space-time has a naked ring singularity, probably untouchable as in \cite{Matos:2012gj}, but otherwise regular. The WH throat lies on the disc bounded by the ring singularity, which keeps the throat open without requiring exotic matter, that means, satisfying all the energy conditions. After analyzing the geodesic motion and the tidal forces we find that a test particle can go through the WH without troubles.