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

### Bičák J.; Scholtz M. and Tod P.

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.

typ: | article |

journal: | Class. Quantum grav. |

volume: | 27 |

pages: | 055007 |

year: | 2010 |

eprint: | arXiv:1003.3402v1 |