Higher dimensional charged BTZ-like wormhole

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.

13 pages with one eps figure

References in corpus (3)

• Three-Dimensional Gravity Revisited
• Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability
• A new class of stable $(2+1)$ dimensional thin shell wormhole

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• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity