Traversable Wormholes in Geometries of Charged Shells

TL;DR

This paper presents a novel static, traversable wormhole model constructed from charged shells in equilibrium, connecting two asymptotic regions without violating energy conditions, but with closed timelike curves present.

Contribution

It introduces a new class of traversable wormholes based on charged shells, combining Majumdar-Papapetrou and Reissner-Nordström geometries, without energy condition violations.

Findings

Wormhole connects identical asymptotic regions.

No violation of energy conditions in the construction.

Presence of closed timelike curves in the spacetime.

Abstract

We construct a static axisymmetric wormhole from the gravitational field of two charged shells which are kept in equilibrium by their electromagnetic repulsion. For large separations the exterior tends to the Majumdar-Papapetrou spacetime of two charged particles. The interior of the wormhole is a Reissner-Nordstr\"om black hole matching to the two shells. The wormhole is traversable and connects to the same asymptotics without violation of energy conditions. However, every point in the Majumdar-Papapetrou region lies on a closed timelike curve.