Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
Abstract
We study vacuum solutions of five-dimensional Einstein equations generated by the inverse scattering method. We reproduce the black ring solution which was found by Emparan and Reall by taking the Euclidean Levi-Civita metric plus one-dimensional flat space as a seed. This transformation consists of two successive processes; the first step is to perform the three-solitonic transformation of the Euclidean Levi-Civita metric with one-dimensional flat space as a seed. The resulting metric is the Euclidean C-metric with extra one-dimensional flat space. The second is to perform the two-solitonic transformation by taking it as a new seed. Our result may serve as a stepping stone to find new exact solutions in higher dimensions.
Keywords
Cite
@article{arxiv.hep-th/0604067,
title = {Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution},
author = {Shinya Tomizawa and Masato Nozawa},
journal= {arXiv preprint arXiv:hep-th/0604067},
year = {2009}
}
Comments
12 pages, to be published in PRD