# Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method. II. Production of the black ring solution

@article{Tomizawa2005VacuumSO, title={Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method. II. Production of the black ring solution}, author={Shinya Tomizawa and Yoshiyuki Morisawa and Yukinori Yasui}, journal={Physical Review D}, year={2005}, volume={73}, pages={124034} }

We study vacuum solutions of five-dimensional Einstein equations generated by the inverse scattering method. We reproduce the black ring solution which was found by Emparan and Reall by taking the Euclidean Levi-Civita metric plus one-dimensional flat space as a seed. This transformation consists of two successive processes; the first step is to perform the three-solitonic transformation of the Euclidean Levi-Civita metric with one-dimensional flat space as a seed. The resulting metric is the…

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