1204.1153 (S. H. Hendi)

Higher dimensional charged BTZ-like wormhole    [PDF]

S. H. Hendi

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 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 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.

View original: http://arxiv.org/abs/1204.1153