2003/06/06 by Pieter-Jan De Smet, De Smet, Pieter-Jan
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0306026
8 pages
arxiv created 2003/06/06 · openalex publication_date 2003/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is well-known that the Kerr-metric (rotating black hole in four dimensions) has Petrov type D. We prove a similar property in five dimensions. The Myers-Perry metric (rotating black hole in five dimensions) with one non-zero angular momentum has Petrov type \underline22. Conversely, we show that the Myers-Perry solution is unique within a certain restricted class of metrics of Petrov type \underline22.