Abstract
We find an exact cylindrically symmetric stationary exterior solution of the Einstein-Maxwell equations. We then match this solution smoothly onto an interior solution for rotating charged dust found earlier by the author. The solution thus obtained is regular and well behaved inside the matter. Such matched solutions are rare either for the Einstein or Einstein-Maxwell equations. Some properties of the solution are discussed.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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