A charged rotating cylindrical shell
General Relativity and Quantum Cosmology
2009-11-10 v3
Abstract
We give an example of a spacetime having an infinite thin rotating cylindrical shell constituted by a charged perfect fluid as a source. As the interior of the shell the Bonnor--Melvin universe is considered, while its exterior is represented by Datta--Raychaudhuri spacetime. We discuss the energy conditions and we show that our spacetime contains closed timelike curves. Trajectories of charged test particles both inside and outside the cylinder are also examined. Expression for the angular velocity of a circular motion inside the cylinder is given.
Keywords
Cite
@article{arxiv.gr-qc/0309110,
title = {A charged rotating cylindrical shell},
author = {J Gersl and P Klepac and J Horsky},
journal= {arXiv preprint arXiv:gr-qc/0309110},
year = {2009}
}
Comments
14 pages, 4 figures, minor corrections, to appear in Gen.Rel.Grav