Phases of Five-Dimensional Black Holes

Abstract

We argue that the configurations that approach maximal entropy in five-dimensional asymptotically flat vacuum gravity, for fixed mass and angular momentum, are `black Saturns' with a central, close to static, black hole and a very thin black ring around it. For any value of the angular momentum, the upper bound on the entropy is equal to the entropy of a static black hole of the same total mass. For fixed mass, spin and area there are families of multi-ring solutions with an arbitrarily large number of continuous parameters, so the total phase space is infinite-dimensional. Somewhat surprisingly, the phases of highest entropy are not in thermal equilibrium. Imposing thermodynamical equilibrium drastically reduces the phase space to a finite, small number of different phases.

16 pages, 2 figures; v2: comments and ref added; v3: ref added

References in corpus (4)

• Instabilities of Black Strings and Branes
• Black ring with two angular momenta
• Dynamics and Stability of Black Rings
• Phases of Kaluza-Klein Black Holes: A Brief Review

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• Multi-black hole configurations on the cylinder
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• Generating technique for $U(1{)}^{3}5D$ supergravity
• Three-Charge Supertubes in a Rotating Black Hole Background