Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-30
Prog.Theor.Phys.116:319-328,2006
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1143/PTP.116.319
We obtain an infinite number of soliton solutions to the the five-dimensional stationary Einstein equation with axial symmetry by using the inverse scattering method. We start with the five-dimensional Minkowski space as a seed metric to obtain these solutions. The solutions are characterized by two soliton numbers and a constant appearing in the normalization factor related to a coordinate condition. We show that the (2,0)-soliton solution is identical to the Myers-Perry solution with one angular momentum by imposing a condition between parameters. We also show that the (2,2)-soliton solution is different from the black ring solution discovered by Emparan and Reall, although one component of the metric of two metrics can be identical.
Azuma Takahiro
Koikawa Takao
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