Dynamic wormhole spacetimes coupled to nonlinear electrodynamics

TL;DR

This paper investigates dynamic wormhole solutions within nonlinear electrodynamics, finding that electric fields lead to singularities while magnetic fields can produce regular, physically acceptable wormhole geometries.

Contribution

It demonstrates that evolving wormholes coupled to nonlinear electrodynamics are only physically viable with magnetic fields, due to singularities caused by electric fields.

Findings

Electric fields cause singularities at the wormhole throat.

Magnetic fields allow for regular, finite wormhole solutions.

Evolving wormholes with electric fields are ruled out by physical considerations.

Abstract

We explore the possibility of dynamic wormhole geometries, within the context of nonlinear electrodynamics. The Einstein field equation imposes a contracting wormhole solution and the obedience of the weak energy condition. Furthermore, in the presence of an electric field, the latter presents a singularity at the throat, however, for a pure magnetic field the solution is regular. Thus, taking into account the principle of finiteness, that a satisfactory theory should avoid physical quantities becoming infinite, one may rule out evolving wormhole solutions, in the presence of an electric field, coupled to nonlinear electrodynamics.