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arXiv · hep-th/0604050

Solitonic generation of five-dimensional black ring solution

Hideo Iguchi·Takashi Mishima
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Abstract

Using the solitonic solution-generating technique we rederived the one-rotational five-dimensional black ring solution found by Emparan and Reall. The seed solution is not the Minkowski metric, which is the seed of $S^2$-rotating black ring. The obtained solution has more parameters than the Emparan and Reall's $S^1$-rotating black ring. We found the conditions of parameters to reduce the solution to the $S^1$-rotating black ring. In addition we examined the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the canonical coordinates.

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Hideo Iguchi, Takashi Mishima. 2006-06-20. Solitonic generation of five-dimensional black ring solution. https://doi.org/10.1103/physrevd.73.121501

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