## Advances in Theoretical and Mathematical Physics

### 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 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 $\mathbb{R}^4$ 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; so they might be mapped to microstates of the D1–D5–p system and used to explain the entropy of this black hole.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 9, Number 5 (2005), 667-701.

Dates
First available in Project Euclid: 3 April 2006

https://projecteuclid.org/euclid.atmp/1144070402

Mathematical Reviews number (MathSciNet)
MR2202288

Zentralblatt MATH identifier
1129.83018

#### Citation

Bena, Iosif; Warner, Nicholas P. One ring to rule them all and in the darkness bind them?. Adv. Theor. Math. Phys. 9 (2005), no. 5, 667--701. https://projecteuclid.org/euclid.atmp/1144070402