On stationary metrics in five dimensions
Pieter-Jan De Smet
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 22. Conversely, we show that the Myers-Perry solution is unique within a certain restricted class of metrics of Petrov type 22.
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