On stationary metrics in five dimensions
General Relativity and Quantum Cosmology
2007-05-23 v1
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}.
Cite
@article{arxiv.gr-qc/0306026,
title = {On stationary metrics in five dimensions},
author = {Pieter-Jan De Smet},
journal= {arXiv preprint arXiv:gr-qc/0306026},
year = {2007}
}
Comments
8 pages