The Petrov type of the five-dimensional Myers-Perry metric
Pieter-Jan De Smet
TL;DR
This paper demonstrates that the five-dimensional Myers-Perry black hole metric shares the same algebraic Petrov type as the five-dimensional Schwarzschild metric, indicating a specific algebraic structure.
Contribution
It identifies the Petrov type of the five-dimensional Myers-Perry metric as type 22, revealing its algebraic classification and extending understanding of higher-dimensional black hole geometries.
Findings
Myers-Perry metric in five dimensions is algebraically special.
It has Petrov type 22, same as five-dimensional Schwarzschild.
The algebraic structure of these metrics is clarified.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.