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

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

2010-03-17

arxiv.org/abs/1003.3402v1

Classical and Quantum Gravity, Volume 27, Issue 5, 055007 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 2 figures, published in Class. Quant. Grav.

Scientific paper

10.1088/0264-9381/27/5/055007

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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