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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

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

Bičák, J.; Scholtz, M.; Tod, P.

Class. Quantum Grav. 27, 055007 (2010)

doi ↗ arXiv:1003.3402v1 ↗

Abstract

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.

Institute authors

BibTeX

@article{UTF394,
  author        = {Bičák, J. and Scholtz, M. and Tod, P.},
  title         = {{On asymptotically flat solutions of Einstein's equations periodic in time: I. Vacuum and electrovacuum solutions}},
  journal       = {Class. Quantum Grav.},
  volume        = {27},
  pages         = {055007},
  year          = {2010},
  doi           = {10.1088/0264-9381/27/5/055007},
  eprint        = {1003.3402v1},
  archivePrefix = {arXiv},
}