Higher dimensional charged BTZ-like wormhole

TL;DR

This paper constructs higher-dimensional charged BTZ-like wormholes using a cut-and-paste method, analyzing their properties and showing the dependence of electric charge on rotation parameters, with the static case having no net charge.

Contribution

It introduces a method to generate higher-dimensional charged BTZ-like wormholes from lower-dimensional solutions, including rotation, and analyzes their physical properties.

Findings

Charged BTZ-like wormholes supported by exotic matter at the throat.

Electric charge depends on rotation parameters, static wormholes have no net charge.

Conserved quantities such as mass, angular momentum, and electric charge are calculated.

Abstract

It is known that traversable wormhole can exist in General Relativity only if its throat contains some exotic matter. In this paper, we obtain $(2+1)$-dimensional (horizonless) charged magnetic brane without (curvature) singularity. Then, we consider a nontrivial local transformation to grant a global rotation to spacetime. After that, we generalize magnetic brane to higher dimensional solutions and use the cut-and-paste method to construct higher dimensional charged BTZ-like rotating wormholes such a way that they reduce to charged magnetic BTZ solution in three dimensions, exactly. We also show that charged BTZ-like wormhole supported by the exotic matter at its throat $r=r_{+}$. Finally, we calculate the conserved quantities of the charged BTZ-like wormhole such as mass, angular momentum and electric charge density, and show that the electric charge depends on the rotation parameters, interestingly, and the static wormhole does not have a net electric charge density.