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Rotating dust clouds in general relativity

General Relativity and Gravitation, ISSN: 0001-7701, Vol: 40, Issue: 1, Page: 191-198
2008
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We present an exact solution of Einstein's equations representing interpenetrating clouds of rotating dust. The solution is a member of the van Stockum class; it contains singularities at the centres of the clouds. These are sources of the angular momentum which is displayed by the metric at infinity. It is not clear whether the rotating dust contributes to the angular momentum. In the case of two clouds there is a conical singularity between the central ones. For three clouds the conical singularity may be absent. © 2007 Springer Science+Business Media, LLC.

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