Infinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equation

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dc.creatorAzuma, Takahiro
dc.creatorKoikawa, Takao
dc.date2005-12-30
dc.date.accessioned2026-07-07T10:45:35Z
dc.date.available2026-07-07T10:45:35Z
dc.descriptionWe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512350
dc.identifierhttp://arxiv.org/abs/hep-th/0512350
dc.identifierProg.Theor.Phys.116:319-328,2006
dc.identifierdoi:10.1143/PTP.116.319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182960
dc.subjectHigh Energy Physics - Theory
dc.titleInfinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equation
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