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

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.

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 Creators:
Bicak, Jiri1, Author           
Scholtz, Martin2, Author
Tod, Paul3, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24008              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              
3External Organizations, ou_persistent22              

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 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.

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Language(s): eng - English
 Dates: 2010-03-07
 Publication Status: Issued
 Pages: 23
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 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 27 (5) Sequence Number: 055007 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1