Black holes on cylinders are not algebraically special

Details Black holes on cylinders are not algebraically special Black holes on cylinders are not algebraically special

2002-06-12

arxiv.org/abs/hep-th/0206106v2

Class.Quant.Grav. 19 (2002) 4877-4896

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure; v2: classification completed, discussion simplified, references added

Scientific paper

10.1088/0264-9381/19/19/307

We give a Petrov classification for five-dimensional metrics. We classify 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 circle and the five-dimensional black hole are both algebraically special, it turns out that the black hole on a cylinder is not.

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