Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method. II. Production of the black ring solution
- Department of Mathematics and Physics, Graduate School ofScience, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi, Osaka 152-8551 (Japan)
- Department of Physics, Waseda University, 3-4-1, Okubo, Shinjyuku-ku, Tokyo, 169-8555 (Japan)
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.
- OSTI ID:
- 20774917
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 12; Other Information: DOI: 10.1103/PhysRevD.73.124034; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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