## Advances in Theoretical and Mathematical Physics

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

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

Iosif Bena and Nicholas P. Warner

#### 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

**Permanent link to this document**

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