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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47 Citations
Background Citations
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Methods Citations
11
Results Citations
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47 Citations

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