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

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• Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
• Boosted Black Holes on Kaluza-Klein Bubbles
• Rotating Black Holes on Kaluza-Klein Bubbles
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Charged Kaluza-Klein double-black holes in five dimensions
• Three-charge 2J black ring
• Multi-Black Rings on Eguchi-Hanson Space
• New construction of a charged dipole black ring by Harrison transformation
• Rotating black ring on Kaluza-Klein bubbles
• Is the type-D NUT C-metric really "missing" from the most general Plebański-Demiański solution?
• Thermodynamic black di-rings
• Schwarzschild black hole levitating in the hyperextreme Kerr field
• Hidden symmetries in 5D supergravities and black rings