2002/06/30 by Pieter-Jan De Smet · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/19/19/307
published as Class.Quant.Grav. 19 (2002) 4877-4896 · 21 pages, 1 figure; v2: classification completed, discussion simplified, references added
openalex publication_date 2002/09/17 · arxiv created 2003/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We give a Petrov classification for five-dimensional metrics. We give an almost complete classification of Ricci-flat metrics that are static, have an SO (3) isometry group and have Petrov type 22. We use this classification to look for the metric of a black hole on a cylinder, i.e., a black hole with asymptotic geometry four-dimensional Minkowski space times a circle. Although a black string wrapped around the S 1 and the five-dimensional black hole are both algebraically special, it turns out that the black hole on a cylinder is not.