Black diring and infinite nonuniqueness

TL;DR

This paper demonstrates the superposition of $S^1$-rotating black rings into black dirings, revealing infinite nonuniqueness and continuous limits connecting fat and thin black rings with identical mass and angular momentum.

Contribution

It introduces a solution generating technique for black dirings, showing their equilibrium configurations and the infinite nonuniqueness in black ring solutions.

Findings

Existence of equilibrium black dirings without conical singularities.

Infinite black dirings with identical mass and angular momentum.

Continuous limits connecting fat and thin black rings.

Abstract

We show that the $S^1$-rotating black rings can be superposed by the solution generating technique. We analyze the black diring solution for the simplest case of multiple rings. There exists an equilibrium black diring where the conical singularities are cured by the suitable choice of physical parameters. Also there are infinite numbers of black dirings with the same mass and angular momentum. These dirings can have two different continuous limits of single black rings. Therefore we can transform the fat black ring to the thin ring with the same mass and angular momentum by way of the diring solutions.