English

Higher dimensional charged BTZ-like wormhole

General Relativity and Quantum Cosmology 2013-05-13 v2

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)(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+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.

Keywords

Cite

@article{arxiv.1204.1153,
  title  = {Higher dimensional charged BTZ-like wormhole},
  author = {S. H. Hendi},
  journal= {arXiv preprint arXiv:1204.1153},
  year   = {2013}
}

Comments

13 pages with one eps figure

R2 v1 2026-06-21T20:45:03.723Z