One Ring to Rule Them All ... and in the Darkness Bind Them?

TL;DR

This paper constructs all eleven-dimensional three-charge BPS solutions, including black holes, rings, and supertubes, revealing large families of solutions that challenge black hole uniqueness and potentially explain black hole entropy.

Contribution

It provides a comprehensive construction of all supersymmetric three-charge solutions in eleven dimensions, including novel black rings and supertubes with arbitrary profiles.

Findings

Large families of black rings and supertubes with arbitrary profiles.

Black rings violate black hole uniqueness.

Supertube solutions are regular and have small curvature.

Abstract

We construct all eleven-dimensional, three-charge BPS solutions that preserve a fixed, standard set of supersymmetries. Our solutions include all BPS three-charge rotating black holes, black rings, supertubes, as well as arbitrary superpositions of these objects. We find very large families of black rings and supertubes with profiles that follow arbitrary closed curves in the spatial R^4 transverse to the branes. The black rings copiously violate black hole uniqueness. The supertube solutions are completely regular, and generically have small curvature. They also have the same asymptotics as the three-charge black hole; and so they might be mapped to microstates of the D1-D5-p system and used to explain the entropy of this black hole.