Open Access
October 2005 One ring to rule them all and in the darkness bind them?
Iosif Bena, Nicholas P. Warner
Adv. Theor. Math. Phys. 9(5): 667-701 (October 2005).


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.


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Iosif Bena. Nicholas P. Warner. "One ring to rule them all and in the darkness bind them?." Adv. Theor. Math. Phys. 9 (5) 667 - 701, October 2005.


Published: October 2005
First available in Project Euclid: 3 April 2006

zbMATH: 1129.83018
MathSciNet: MR2202288

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 5 • October 2005
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