Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations

Details Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations

2006-08-24

arxiv.org/abs/hep-th/0608169v2

Phys.Rev.D74:104004,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Some references are added, to be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.74.104004

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.

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