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

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

2005-07-26

arxiv.org/abs/hep-th/0507250v1

Phys.Rev. D73 (2006) 044004

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1103/PhysRevD.73.044004

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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