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Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes

Andrei Pomeransky
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Abstract

A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a non-flat 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-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.

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Andrei Pomeransky. 2005-07-26. Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes. https://doi.org/10.1103/physrevd.73.044004

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