On stationary metrics in five dimensions
arXiv:gr-qc/0306026
Abstract
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 \underline{22}. Conversely, we show that the Myers-Perry solution is unique within a certain restricted class of metrics of Petrov type \underline{22}.
8 pages
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