Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations

Abstract

We give the relation between the solutions generated by the inverse scattering method and the Bäcklund 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 Bäcklund transformation are contained within those generated from the same seed by the inverse scattering method.

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

References in corpus (4)

• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Solitonic generation of five-dimensional black ring solution
• Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
• Solitonic generation of vacuum solutions in five-dimensional General Relativity

Cited by in corpus (4)

• Boundary Value Problem for Black Rings
• Rotating Black Holes on Kaluza-Klein Bubbles
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Multi-Black Rings on Eguchi-Hanson Space