Solitonic generation of five-dimensional black ring solution

Details Solitonic generation of five-dimensional black ring solution Solitonic generation of five-dimensional black ring solution

2006-04-07

arxiv.org/abs/hep-th/0604050v3

Phys.Rev.D73:121501,2006

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 4 figures ; accepted version, several details are removed

Scientific paper

10.1103/PhysRevD.73.121501

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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