English

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

General Relativity and Quantum Cosmology 2010-03-19 v1

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.

Keywords

Cite

@article{arxiv.1003.3402,
  title  = {On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions},
  author = {Jiri Bicak and Martin Scholtz and Paul Tod},
  journal= {arXiv preprint arXiv:1003.3402},
  year   = {2010}
}

Comments

25 pages, 2 figures, published in Class. Quant. Grav.