The Petrov type of the BMPV metric

TL;DR

This paper determines that the BMPV metric in five-dimensional spacetime has Petrov type 22, indicating its algebraic properties are less special than the five-dimensional Schwarzschild metric.

Contribution

It identifies the Petrov type of the BMPV metric as 22, providing insight into its algebraic classification in higher-dimensional gravity.

Findings

BMPV metric has Petrov type 22

BMPV is less algebraically special than 5D Schwarzschild

Provides classification of BMPV's algebraic structure

Abstract

We show that the BMPV metric has Petrov type 22. This means that the BMPV metric is less algebraically special than the five-dimensional Schwarzschild metric, which has Petrov type \underline{22}.