English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We obtain an infinite number of soliton solutions to the the five-dimensionalstationary Einstein equation with axial symmetry by using the inversescattering method. We start with the five-dimensional Minkowski space as a seedmetric to obtain these solutions. The solutions are characterized by twosoliton numbers and a constant appearing in the normalization factor related toa coordinate condition. We show that the (2,0)-soliton solution is identical tothe Myers-Perry solution with one angular momentum by imposing a conditionbetween parameters. We also show that the (2,2)-soliton solution is differentfrom the black ring solution discovered by Emparan and Reall, although onecomponent of the metric of two metrics can be identical.Comment: 13 page

An Infinite Number of Stationary Soliton Solutions to the Five-Dimensional Vacuum Einstein Equation