Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method

Details Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method

2005-12-20

arxiv.org/abs/hep-th/0512252v2

Phys.Rev. D73 (2006) 064009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.73.064009

We study stationary and axially symmetric two solitonic solutions of five dimensional vacuum Einstein equations by using the inverse scattering method developed by Belinski and Zakharov. In this generation of the solutions, we use five dimensional Minkowski spacetime as a seed. It is shown that if we restrict ourselves to the case of one angular momentum component, the generated solution coincides with a black ring solution with a rotating two sphere which was found by Mishima and Iguchi recently.

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