Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations
High Energy Physics - Theory
2008-11-26 v2
Abstract
We give the relation between the solutions generated by the inverse scattering method and the B\"acklund transformation applied to the vacuum five-dimensional Einstein equations. In particular, we show that the two-solitonic solutions generated from an arbitrary diagonal seed by the B\"acklund transformation are contained within those generated from the same seed by the inverse scattering method.
Cite
@article{arxiv.hep-th/0608169,
title = {Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations},
author = {Shinya Tomizawa and Hideo Iguchi and Takashi Mishima},
journal= {arXiv preprint arXiv:hep-th/0608169},
year = {2008}
}
Comments
17 pages, Some references are added, to be published in Phys.Rev.D