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On analytic asymptotically-flat vacuum and electrovac metrics, periodic in time

arXiv:0902.1061

Abstract

By an argument similar to that of Gibbons and Stewart (1984), we show that there are no weakly-asymptotically-simple, analytic vacuum or electrovac solutions of the Einstein equations which are periodic in time.

11 pages; this paper is withdrawn as it contains an error which is corrected in the jointly-authored item arXiv:1003.3402.