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

J Biák (1, 2) , M Scholtz (1, 2) , P Tod (1, 3)

1 Faculty of Mathematics and Physics [Praha/Prague]
2 AEI - Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
3 MI - Mathematical Institute [Oxford]

By an argument similar to that of Gibbons and Stewart [ 10 ], but in a different coordinate system and less restrictive gauge, we show that any weaklyasymptotically-simple , analytic vacuum or electrovacuum solutions of the Einstein equations which are periodic in time are necessarily stationary.

Mots clés: Physical Sciences

J Biák, M Scholtz, P Tod. On asymptotically flat solutions of Einstein's equations periodic in time: I. Vacuum and electrovacuum solutions. Classical and Quantum Gravity, 2010, 27 (5), pp.55007. ⟨10.1088/0264-9381/27/5/055007⟩. ⟨hal-00574017⟩