Bicycling Black Rings

Abstract

We present detailed physics analyses of two different 4+1-dimensional asymptotically flat vacuum black hole solutions with spin in two independent planes: the doubly spinning black ring and the bicycling black ring system ("bi-rings"). The latter is a new solution describing two concentric orthogonal rotating black rings which we construct using the inverse scattering technique. We focus particularly on extremal zero-temperature limits of the solutions. We construct the phase diagram of currently known zero-temperature vacuum black hole solutions with a single event horizon, and discuss the non-uniqueness introduced by more exotic black hole configurations such as bi-rings and multi-ring saturns.

32 pages, 12 figures

References in corpus (33)

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Cited by in corpus (109)

• CFT Duals for Extreme Black Holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Central Charges in Extreme Black Hole/CFT Correspondence
• Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity
• Extremal vacuum black holes in higher dimensions
• New Horizons for Black Holes and Branes
• Ultraspinning instability of rotating black holes
• A Comment on Kerr-CFT and Wald Entropy
• A (Running) Bolt for New Reasons
• Black Rings in Taub-NUT and D0-D6 interactions
• Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
• The Many Phases of Holographic Superfluids
• The Black Ring is Unstable
• Black Holes in Higher-Dimensional Gravity
• On the `Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions
• Geometric Engineering 5d Black Holes with Rod Diagrams
• On the uniqueness of extremal vacuum black holes
• Black holes and the LHC: A review
• Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity
• Black holes on gravitational instantons
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Ultraspinning instability of anti-de Sitter black holes
• Thermodynamic instability of doubly spinning black objects
• 5D Einstein-Maxwell solitons and concentric rotating dipole black rings
• Multi-black rings and the phase diagram of higher-dimensional black holes
• On the Bekenstein-Hawking area law for black objects with conical singularities
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Quasilocal equilibrium condition for black ring
• Black Hole Vacua and Rotation
• Extremal Black Hole Horizons
• $d\ge 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Black rings in global anti-de Sitter space
• Unbalanced Pomeransky-Sen'kov black ring
• Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions
• Domain Structure of Black Hole Space-Times
• Stable Bound Orbits of Massless Particles around a Black Ring
• New generalized nonspherical black hole solutions
• Stable Bound Orbits around Black Rings
• A doubly rotating black ring with dipole charge
• Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• Higher dimensional black holes
• Inverse Scattering Construction of a Dipole Black Ring
• Charged Kaluza-Klein double-black holes in five dimensions
• Magnetized static black Saturn
• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• New instability of non-extremal black holes: spitting out supertubes
• An electrically charged doubly spinning dipole black ring
• Three-charge 2J black ring
• A Charged Doubly Spinning Black Ring
• Refinements of the Weyl tensor classification in five dimensions
• Tomograms of Spinning Black Holes
• Counting the microstates of a vacuum black ring
• Extremal Charged Black Holes with a Twisted Extra Dimension
• Moduli space of stationary vacuum black holes from integrability
• New construction of a charged dipole black ring by Harrison transformation
• Algebraic classification of five-dimensional spacetimes using scalar invariants
• Rotating black rings on Taub-NUT
• Notes on maximal slices of five-dimensional black holes
• "Flip" of SL(2,R)-duality in five-dimensional supergravity
• More on Five Dimensional EVH Black Rings
• Rotating black ring on Kaluza-Klein bubbles
• Vortices in (2+1)d Conformal Fluids
• Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations in the low energy heterotic string effective theory
• Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• On the nonexistence of a vacuum black lens
• On the black hole species (by means of natural selection)
• Charged dilatonic black rings and black saturns and their thermodynamics
• Charged rotating dilaton black holes with Kaluza-Klein asymptotics
• Static charged double-black rings in five dimensions
• Charged black rings from inverse scattering
• New black ring with all independent conserved charges in five-dimensional minimal supergravity
• Charged black holes on the Taub-Bolt instanton
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Multipole moments for black objects in five dimensions
• Dynamical Black Rings with a Positive Cosmological Constant
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Dynamical entropy of charged black objects
• A black ring on the Taub-bolt instanton in five dimensions
• Thermodynamic black di-rings
• On Universality of Ergoregion Mergers
• On the global structure of the Pomeransky-Senkov black holes
• A Distorted Black Ring
• Balanced electric-magnetic dihole in Kaluza-Klein theory
• Time evolution of a thin black ring via Hawking radiation
• CFT Duals for Black Rings and Black Strings
• 5D gravitational waves from complexified black rings
• Supersymmetric black rings and non-linear sigma models
• Stationary Vacuum Black Holes in 5 Dimensions
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• New frontiers in Numerical Relativity
• Signatures of Extra Dimensions in Black Hole Jets
• Ghost points in inverse scattering constructions of stationary Einstein metrics
• Three-Charge Supertubes in a Rotating Black Hole Background
• Towards higher dimensional black rings
• Charged Static AdS Black Hole Binaries
• Black Rings in Supergravity
• The Surface Layers Dual to Hydrodynamic Boundaries
• Hidden symmetries in 5D supergravities and black rings
• Geometry of the doubly spinning Black Ring
• Surface Layers in the Gravity/Hydrodynamics Correspondence