Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-10
Phys.Rev. D73 (2006) 124034
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, to be published in PRD
Scientific paper
10.1103/PhysRevD.73.124034
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 Euclidean C-metric with extra one-dimensional flat space. The second is to perform the two-solitonic transformation by taking it as a new seed. Our result may serve as a stepping stone to find new exact solutions in higher dimensions.
Nozawa Masato
Tomizawa Shinya
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