Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Class. Quantum Grav. 27, 055007 (2010)
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.
@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},
}