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 the 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. An expression for the angular velocity of a circular motion inside the cylinder is given.
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Geršl, J., Klepáč, P. & Horský, J. A Charged Rotating Cylindrical Shell. General Relativity and Gravitation 36, 1399–1413 (2004). https://doi.org/10.1023/B:GERG.0000022394.97195.07
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DOI: https://doi.org/10.1023/B:GERG.0000022394.97195.07