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arXiv · hep-th/0512350

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

Takahiro Azuma·Takao Koikawa
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Abstract

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.

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Takahiro Azuma, Takao Koikawa. 2005-12-30. Infinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equation. https://doi.org/10.1143/ptp.116.319

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