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arXiv · 1003.3402

On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions

Jiri Bicak·Martin Scholtz·Paul Tod
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Abstract

By an argument similar to that of Gibbons and Stewart, but in a different coordinate system and less restrictive gauge, we show that any weakly-asymptotically-simple, analytic vacuum or electrovacuum solutions of the Einstein equations which are periodic in time are necessarily stationary.

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Jiri Bicak, Martin Scholtz, Paul Tod. 2010-03-17. On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions. https://doi.org/10.1088/0264-9381%2F27%2F5%2F055007

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