On the Topology of Black Lenses

TL;DR

This paper explores the topological structures of 5-dimensional black holes with lens space horizons, demonstrating their emergence from crease sets and realization in specific Einstein-Maxwell solutions.

Contribution

It introduces a detailed analysis of black hole topologies with lens space horizons and connects these structures to explicit solutions in Einstein-Maxwell theory.

Findings

Black holes with lens space horizons can form from crease sets composed of plumbed 2-spheres.

Such topologies are realized in Kastor-Traschen solutions of Einstein-Maxwell equations.

The study advances understanding of possible horizon topologies in higher-dimensional gravity.

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.