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arxiv: 1204.1153 · v2 · pith:R74Q6WUWnew · submitted 2012-04-05 · 🌀 gr-qc

Higher dimensional charged BTZ-like wormhole

classification 🌀 gr-qc
keywords chargedwormholebtz-likedimensionalchargeelectrichighermagnetic
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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.

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