Black rings in global anti-de Sitter space

Abstract

We construct five dimensional black rings in global anti-de Sitter space using numerical methods. These rings satisfy the BPS bound $|J|<M\ell$, but the angular velocity always violates the Hawking-Reall bound $|{\Omega }_H\ell |\le 1$, indicating that they should be unstable under superradiance. At high temperatures, the limit $|{\Omega }_H\ell |\searrow 1$ is attained by thin rings with an arbitrarily large radius. However, at sufficiently low temperatures, this limit is saturated by a new kind of rings, whose outer circle can still be arbitrarily long while the hole in the middle does not grow proportionally. This gives rise to a membrane-like horizon geometry, which does not have an asymptotically flat counterpart. We find no evidence for thin AdS black rings whose transverse $S^2$ is much larger than the radius of AdS, $\ell$, and thus these solutions never fall into the hydrodynamic regime of the dual CFT. Thermodynamically, we find that AdS black rings never dominate the grand canonical ensemble. The behaviour of our solutions in the microcanonical ensemble approaches known perturbative results in the thin-ring limit.

26 pages, 10 figures

References in corpus (10)

• Bicycling Black Rings
• Black ring with two angular momenta
• Large rotating AdS black holes from fluid mechanics
• Orthogonal black di-ring solution
• Dynamics and Stability of Black Rings
• Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
• Plasmarings as dual black rings
• Bumpy black holes
• An infinite class of extremal horizons in higher dimensions
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case

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• Thermodynamics of a rotating black hole in minimal five-dimensional gauged supergravity
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Perturbative Construction of Stationary Randall-Sundrum II Black Holes on a 5-Brane
• On the nonexistence of extreme anti-de Sitter black rings
• New asymptotically (Anti)-de Sitter black holes in (super)gravity
• Charged Static AdS Black Hole Binaries
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory