One ring to rule them all and in the darkness bind them?

Abstract

We construct all 11-dimensional, three-charge BPS solutions that preserve a\nfixed, standard set of supersymmetries. Our solutions include all BPS\nthree-charge rotating black holes, black rings, supertubes, as well as arbitrary\nsuperpositions of these objects. We find very large families of black rings and\nsupertubes with profiles that follow arbitrary closed curves in the\nspatial $\\mathbb{R}^4$ transverse to the branes. The black rings copiously\nviolate black-hole uniqueness. The supertube solutions are completely regular\nand generically have small curvature. They also have the same asymptotics as the\nthree-charge black hole; so they might be mapped to microstates of the D1–D5–p\nsystem and used to explain the entropy of this black hole.