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Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations

Shinya Tomizawa·Hideo Iguchi·Takashi Mishima
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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.

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Shinya Tomizawa, Hideo Iguchi, Takashi Mishima. 2006-10-17. Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations. https://doi.org/10.1103/physrevd.74.104004

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