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 (19)

• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• Generalized Weyl Solutions
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Black Saturn
• General Concentric Black Rings
• Instability of Ultra-Spinning Black Holes
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Higher dimensional black holes and supersymmetry
• Black Rings
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Concentric Black Rings
• Black diring and infinite nonuniqueness
• Black ring with two angular momenta
• Black Rings, Boosted Strings and Gregory-Laflamme
• Dynamics and Stability of Black Rings
• Sequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes
• Phases of Kaluza-Klein Black Holes: A Brief Review

Cited by in corpus (37)

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• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
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• Remnant for all Black Objects due to Gravity's Rainbow
• The Black Di-Ring: An Inverse Scattering Construction
• Extremal vacuum black holes in higher dimensions
• New Horizons for Black Holes and Branes
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
• Black Holes in Higher-Dimensional Gravity
• On Hawking radiation from black rings
• Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Ultraspinning instability of anti-de Sitter black holes
• 5D Einstein-Maxwell solitons and concentric rotating dipole black rings
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Perturbations and Stability of Higher-Dimensional Black Holes
• Thermodynamical description of stationary, asymptotically flat solutions with conical singularities
• Multi-black hole configurations on the cylinder
• Dynamics of Particles Near Black Hole with Higher Dimensions
• Black Saturn with dipole ring
• Extremal Black Hole Horizons
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Charged Kaluza-Klein double-black holes in five dimensions
• Missing energy in black hole production and decay at the Large Hadron Collider
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• Three-charge 2J black ring
• Phases of non-extremal multi-centered bound states
• Lumps of plasma in arbitrary dimensions
• Black Objects and Hoop Conjecture in Five-dimensional Space-time
• A Black Ring with two Angular Momenta in Taub-NUT
• Charged dilatonic black rings and black saturns and their thermodynamics
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Thermodynamic black di-rings
• Three-Charge Supertubes in a Rotating Black Hole Background