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Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes
A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a nonflat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in $D$-dimensional space-time with $D\ensuremath{-}2$ commuting Killing vectors …