On the Topology of Black Lenses

Abstract

The topological structure of the black holes in 5-dimensional space-times with a horizon diffeomorphic with the lens space has been discussed. It has been shown that such a black hole can emerge from the crease set, which is composed of the plumbings of several 2-spheres, of the event horizon. It has also been shown that such configurations are realized in the Kastor-Traschen solution of the Einstein-Maxwell system.