2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182960We 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.13 pagesHigh Energy Physics - TheoryInfinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equationtext