Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method
High Energy Physics - Theory
2009-11-11 v2
Abstract
We study stationary and axially symmetric two solitonic solutions of five dimensional vacuum Einstein equations by using the inverse scattering method developed by Belinski and Zakharov. In this generation of the solutions, we use five dimensional Minkowski spacetime as a seed. It is shown that if we restrict ourselves to the case of one angular momentum component, the generated solution coincides with a black ring solution with a rotating two sphere which was found by Mishima and Iguchi recently.
Cite
@article{arxiv.hep-th/0512252,
title = {Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method},
author = {Shinya Tomizawa and Yoshiyuki Morisawa and Yukinori Yasui},
journal= {arXiv preprint arXiv:hep-th/0512252},
year = {2009}
}
Comments
10 pages, accepted for publication in Physical Review D