{"arxiv_id":"hep-th/0507250","title":"Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes","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.","primary_cat":"hep-th","cross_cats":["gr-qc"],"submitted_at":"2005-07-26T11:01:11+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"MODERATE","one_line_summary":"The five-dimensional Myers-Perry black hole with two independent angular momenta is obtained as a two-soliton solution of the Einstein equations on a non-flat static background, illustrating the Belinski-Zakharov method in D dimensions.","novelty_score":5.0,"correctness_risk":"low","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":13,"_links":{"html":"https://pith.science/paper/hep-th/0507250","verdict":"/api/v1/verdicts/hep-th/0507250"}}