Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes

TL;DR

This paper presents exact solutions in a nonminimal Einstein-Maxwell model, including a traversable electric wormhole connecting different asymptotic universes, highlighting the role of nonminimal coupling in enabling wormhole structures.

Contribution

It introduces a new exact solution for a traversable electric wormhole within a three-parameter nonminimal Einstein-Maxwell framework, emphasizing the potential for wormholes in nonminimal theories.

Findings

Existence of a traversable electric wormhole solution.

Relation between mass, charge, and throat radius analyzed.

Wormhole connects asymptotically flat and de Sitter universes.

Abstract

We discuss new exact solutions of a three-parameter nonminimal Einstein-Maxwell model. The solutions describe static spherically symmetric objects with and without center, supported by an electric field nonminimally coupled to gravity. We focus on a unique one-parameter model, which admits an exact solution for a traversable electrically charged wormhole connecting two universes, one asymptotically flat the other asymptotically de Sitter ones. The relation between the asymptotic mass and charge of the wormhole and its throat radius is analyzed. The wormhole solution found is thus a nonminimal realization of the idea of Wheeler about charge without charge and shows that, if the world is somehow nonminimal in the coupling of gravity to electromagnetism, then wormhole appearance, or perhaps construction, is possible.