The Petrov type of the five-dimensional Myers-Perry metric

Abstract

We point out that the Myers-Perry metric in five dimensions is algebraically special. It has Petrov type \underline{22}, which is the Petrov type of the five-dimensional Schwarzschild metric.

4 pages, 1 figure

References in corpus (3)

• A rotating black ring in five dimensions
• A new form of the C-metric
• Black holes on cylinders are not algebraically special

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• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• Algebraically special perturbations of the Schwarzschild solution in higher dimensions
• Notes on Five-dimensional Kerr Black Holes