Multi-Black Rings on Eguchi-Hanson Space

TL;DR

This paper constructs new supersymmetric multi-black ring solutions on Eguchi-Hanson space in five-dimensional supergravity, revealing configurations with lens space topology and limits to rotating black holes.

Contribution

It introduces novel multi-black ring solutions on Eguchi-Hanson space with specific topological and geometric properties, expanding the landscape of known supergravity solutions.

Findings

Solutions have asymptotically locally Euclidean time slices.

Black ring configurations are restricted to avoid Dirac-Misner strings.

Two black rings limit to rotating black holes with S^3 topology.

Abstract

We construct new supersymmetric multi-black ring solutions on the Eguchi-Hanson base space as solutions of the five-dimensional minimal supergravity. The space-time has an asymptotically locally Euclidean time slice, i.e., it has the spatial infinity with the topology of the lens space $L(2;1)=S^3/Z_2$. The configurations of black rings are restricted by the requirement of the absence of a Dirac-Misner string everywhere outside horizons. Especially, in the case of two black rings, the solutions have the limit to a pair of rotating black holes with the horizon topology of S^3.