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

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Bicak,  Jiri
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Scholtz,  Martin
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1003.3402v1.pdf
(Preprint), 258KB

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Citation

Bicak, J., Scholtz, M., & Tod, P. (2010). On asymptotically flat solutions of Einstein's equations periodic in time: I. Vacuum and electrovacuum solutions. Classical and quantum gravity, 27(5): 055007. doi:10.1088/0264-9381/27/5/055007.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-CBEA-0
Abstract
By an argument similar to that of Gibbons and Stewart (1984 Absence of asymptotically flat solutions of Einstein's equations which are periodic and empty near infinity Classical General Relativity (London, 1983) ed W Bonnor, J N Islam and M A H Callum (Cambridge: Cambridge University Press) pp 77–94), 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.