Higher Dimensional Charged BTZ-Like Wormhole

Abstract

It is known that some of the 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 endow 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 in 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 and the static wormhole does not have a net electric charge density. Subject Index: 450, 453