Wormhole solutions in the presence of nonlinear Maxwell field

TL;DR

This paper explores wormhole solutions within nonlinear Maxwell electrodynamics, extending static solutions to rotating spacetimes and analyzing their properties and conserved quantities.

Contribution

It introduces new wormhole solutions in nonlinear electrodynamics and generalizes static solutions to rotating spacetimes with conserved quantities.

Findings

Wormhole solutions constructed using cut-and-paste method.

Extension of static solutions to rotating spacetime.

Analysis of conserved quantities in the solutions.

Abstract

Generalizing of the Maxwell field to nonlinear electrodynamics theories, we look for the magnetic solutions. In initial approximation these models give the usual linear electrodynamics. We consider a suitable metric and investigate the properties of the solutions. Also, we use the cut-and-paste method to construct wormhole structure. We generalize the static solutions to rotating spacetime and obtain conserved quantities.