Magnetic String Coupled to Nonlinear Electromagnetic Field

TL;DR

This paper presents new rotating magnetic string solutions in Einstein gravity coupled with nonlinear electrodynamics, highlighting their unique properties such as absence of singularities and the influence of nonlinearity on asymptotic behavior.

Contribution

It introduces a novel class of rotating magnetic string solutions with nonlinear electrodynamics, analyzing their properties and conserved quantities within the AdS/CFT framework.

Findings

Solutions have no curvature singularity or horizons.

Nonlinearity affects the asymptotic structure of spacetime.

Rotating solutions carry a net electric charge proportional to rotation.

Abstract

We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic singularity and yields a spacetime with a longitudinal magnetic field. Also, we investigate the effects of nonlinearity on the properties of the solutions and find that for the special range of the nonlinear parameter, the solutions are not asymptotic AdS. We show that when the rotation parameter is non zero, the spinning string has a net electric charge that is proportional to the magnitude of the rotation parameter. Finally, we use the counterterm method inspired by AdS/CFT correspondence and calculate the conserved quantities of the solutions.