2005/07/26 by Andrei Pomeransky, A. A. Pomeransky · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Einstein #Einstein equations #General relativity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Rotating black hole #Soliton #Space (punctuation) #Symmetry (geometry) #Uniqueness #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.73.044004
published as Phys.Rev. D73 (2006) 044004 · 11 pages
arxiv created 2005/07/26 · openalex publication_date 2006/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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.