A rotating black ring in five dimensions

Abstract

The vacuum Einstein equations in five dimensions are shown to admit a solution describing an asymptotically flat spacetime regular on and outside an event horizon of topology S^1 x S^2. It describes a rotating ``black ring''. This is the first example of an asymptotically flat vacuum solution with an event horizon of non-spherical topology. There is a range of values for the mass and angular momentum for which there exist two black ring solutions as well as a black hole solution. Therefore the uniqueness theorems valid in four dimensions do not have simple higher dimensional generalizations. It is suggested that increasing the spin of a five dimensional black hole beyond a critical value results in a transition to a black ring, which can have an arbitrarily large angular momentum for a given mass.

4 pages, 3 figures; v2: minor improvements

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• On the Goldberg-Sachs theorem in higher dimensions in the non-twisting case
• Stationary Spacetime from Intersecting M-branes
• Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory
• Phases of Higher Dimensional Black Holes
• Black Strings, Black Rings and State-space Manifold
• Weyl Card Diagrams and New S-brane Solutions of Gravity
• First Law of Black Saturn Thermodynamics
• Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
• Rotating black ring on Kaluza-Klein bubbles
• Rotating dyonic dipole black rings: exact solutions and thermodynamics
• Uniqueness of the extremal Schwarzschild de Sitter spacetime
• More on Five Dimensional EVH Black Rings
• "Flip" of SL(2,R)-duality in five-dimensional supergravity
• Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity
• Weyl Card Diagrams
• Spatial infinity in higher dimensional spacetimes
• Ruppeiner Geometry of Black Hole Thermodynamics
• Open problems in mathematical physics
• Balancing a static black ring with a phantom scalar field
• Oscillator Level for Black Holes and Black Rings
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• Cosmological Solutions in Five Dimensional Minimal Supergravity
• Supersymmetric black holes with a single axial symmetry in five dimensions
• The Inverse Scattering Method, Lie-Backlund Transformations and Solitons for Low-energy Effective Field Equations of 5D String Theory
• Supersymmetric isolated horizons
• On small black holes, KK monopoles and solitonic 5-branes
• Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior
• Microstate geometries at a generic point in moduli space
• Numerical relativity in higher dimensions
• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• Exact constraints on D$\le 10$ Myers Perry black holes and the Wald Problem
• Accelerating black diholes and static black di-rings
• Vortices in (2+1)d Conformal Fluids
• Doubly Spinning Black Rings
• Horizon Detection and Higher Dimensional Black Rings
• Black Objects and Hoop Conjecture in Five-dimensional Space-time
• Stability Analysis of Charged Rotating Black Ring
• Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with nonlinear source
• Stable bound orbits around a supersymmetric black lens
• Supersymmetric Rotating Black Hole in a Compactified Spacetime
• On the nonexistence of a vacuum black lens
• New entropy formula for Kerr black holes
• Second order perturbations in the radius stabilized Randall-Sundrum two branes model II -- Effect of relaxing strong coupling approximation --
• Asymptotically flat multi-black lenses
• Gravitating vortons as ring solitons in general relativity
• Universality of Area Product: Solutions with Conical Singularity
• Ultrarelativistic boost of spinning and charged black rings
• A Black Ring with two Angular Momenta in Taub-NUT
• Bubbles Unbound: Bubbles of Nothing Without Kaluza-Klein
• Black hole uniqueness theorems and new thermodynamic identities in eleven dimensional supergravity
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Anomaly Corrected Heterotic Horizons
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology
• Supergravity on an Atiyah-Hitchin Base
• New Charged Black Holes in Five Dimensions
• On the black hole species (by means of natural selection)
• New thermodynamic identities for five-dimensional black holes
• Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes
• Spherical Photon Orbits around a 5D Myers-Perry Black Hole
• Charged black rings from inverse scattering
• CFT Duals of Black Rings With Higher Derivative Terms
• Static charged double-black rings in five dimensions
• Charged rotating dilaton black holes with Kaluza-Klein asymptotics
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• Geon black holes and quantum field theory
• Multi-charged black lens
• Higher Dimensional Generalizations of the Kerr Black Hole
• Superradiance and black resonator strings encounter helical black strings
• Is the type-D NUT C-metric really "missing" from the most general Plebański-Demiański solution?
• Are There Four-Dimensional Small Black Rings?
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Charged dilatonic black rings and black saturns and their thermodynamics
• Rotating spacetimes with a free scalar field in four and five dimensions
• Gravitating Yang-Mills dyon vortices in 4+1 spacetime dimensions
• A New Class of Accelerating Black Hole Solutions
• Bianchi IX geometry and the Einstein-Maxwell theory
• Four-dimensional regular black strings in bilocal gravity
• Charged black holes on the Taub-Bolt instanton
• On the backreaction of frame dragging
• Exact Solutions of General Relativity and Quadratic Gravity in Arbitrary Dimension
• Matter ouside a Static Higher-dimensional Black Hole
• An explicit global covering of the Schwarzschild-Tangherlini black holes
• A perturbative no-hair of form fields for higher dimensional static black holes
• Spinor calculus on 5-dimensional spacetimes
• Collision of high-energy closed strings: Formation of a ring-like apparent horizon
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Cylindrical symmetric, non-rotating and non-static or static black hole solutions and the naked singularities
• Trapped photons in Schwarzschild-Tangherlini spacetimes
• Thermodynamics of nonspherical black holes from Liouville theory
• Instabilities of Thin Black Rings: Closing the Gap
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta
• The Anholonomic Frame and Connection Deformation Method for constructing off-diagonal solutions in (modified) Einstein gravity and nonassociative geometric flows and Finsler-Lagrange-Hamilton theories
• Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity
• Dynamical Black Rings with a Positive Cosmological Constant
• More on the Entropy Product and Dual CFTs
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Orbiting black-hole binaries and apparent horizons in higher dimensions
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• Spinning-Charged-Hairy Black Holes in 5-d Einstein gravity
• The fundamental physical importance of generic off-diagonal solutions and Grigori Perelman entropy in the Einstein gravity theory
• Multipole moments for black objects in five dimensions
• Black strings from dark matter
• Horizons in de-Sitter Supergravity
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Rotating black holes with Nil or SL(2,$\mathbb{R}$) horizons
• New Topological Gauss-Bonnet Black Holes in Five Dimensions
• Probing the near-horizon geometry of black rings
• Charged Rotating Black Holes in Higher Dimensions
• Charged black strings in a five-dimensional Kasner universe
• Twist of stationary black hole/ring in five dimensions
• Static Ricci-flat 5-manifolds admitting the 2-sphere
• Deformed black strings in 5-dimensional Einstein-Yang-Mills theory
• Topology Change of Black Holes
• Spinorial Geometry and Supergravity
• General triple charged black ring solution in supergravity
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Dynamics of test particles in the five-dimensional, charged, rotating EMCS spacetime
• Note on black hole no hair theorems for massive forms and spin-1/2 fields
• Stable circular orbits in caged black hole spacetimes
• Stable bound orbits in black lens backgrounds
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Dynamical entropy of charged black objects
• On the Topology of Black Lenses
• Multipole Hair of Schwarzschild-Tangherlini Black Holes
• Higher-derivative corrections to small black rings
• Balanced electric-magnetic dihole in Kaluza-Klein theory
• Generalization Of The Gross-Perry Metrics
• A black ring on the Taub-bolt instanton in five dimensions
• On the nonexistence of extreme anti-de Sitter black rings
• Periodic analogues of the Kerr solutions: a numerical study
• The Angular Tension of Black Holes
• Black holes in Sol minore
• First Law of p-brane Thermodynamics
• Exact Solutions to Einstein-Maxwell theory on Eguchi-Hanson Space
• Brane World Black Rings
• Bounding Horizon Area by Angular Momentum, Charge, and Cosmological Constant in 5-Dimensional Minimal Supergravity
• Mathematical general relativity: a sampler
• Symmetry enhancement of extremal horizons in D=5 supergravity
• Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions
• Ultracold horizons in gauged N=1 d=4 supergravity
• Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring
• A Bakry-Émery Almost Splitting Result With Applications to the Topology of Black Holes
• A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
• Towards Cosmological Black Rings
• Thermodynamic black di-rings
• On the global structure of the Pomeransky-Senkov black holes
• Small Horizons
• A Distorted Black Ring
• Higher dimensional charged static and rotating solutions in mimetic gravity
• Charged black lens in de Sitter space
• A Kaluza-Klein black lens in five dimensions
• Black Topologies Production in Extra Dimensions
• Formation of a Black String in a Higher Dimensional Vacuum Gravitational Collapse
• C-metric solution for conformal gravity with a conformally coupled scalar field
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• 5D gravitational waves from complexified black rings
• Supersymmetric black rings and non-linear sigma models
• Equal-time kinetic equations in a rotational field
• Horizon Fractalization in Black Strings Ungravity
• Non-extremal near-horizon geometries
• CFT Duals for Black Rings and Black Strings
• Ultrarelativistic boost of spinning black rings
• Zooming in on the horizon when in its Meissner state
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• Chaotic particle motion around a homogeneous circular ring
• Colliding Plane Wave Solutions in String theory Revisited
• Two-flux Colliding Plane Waves in String Theory
• Generating Generalized $G_{D-2}$ solutions
• The Spacetime of a Dirac Fermion
• Hidden Symmetries and Black Holes
• Degenerate horizons, Einstein metrics, and Lens space bundles
• Time evolution of a thin black ring via Hawking radiation
• The Hoop Conjecture for Black Rings
• Schwarzschild black hole levitating in the hyperextreme Kerr field
• Note on the thermodynamic stability of a black ring at quantum scales
• On explicit thermodynamic functions and extremal limits of Myers-Perry black holes
• Orbifold black holes
• New frontiers in Numerical Relativity
• Toric Kahler metrics and AdS_5 in ring-like co-ordinates
• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry
• Twistor Construction of Higher-Dimensional Black Holes - Part II: Examples
• Entanglement entropy due to near horizon degrees of freedom
• Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
• On stationary metrics in five dimensions
• Caged black hole with Maxwell charge
• A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity
• Lower bound for angular momenta of microstate geometries in five dimensions
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
• Three Charge Supertubes in Type IIB Plane Wave Backgrounds
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• Stationary Vacuum Black Holes in 5 Dimensions
• General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equations
• Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds
• Dynamics of test particles in the five-dimensional Gödel spacetime
• Black Lenses in Kaluza-Klein Matter
• Ghost points in inverse scattering constructions of stationary Einstein metrics
• Ultra High Energy Cosmic Rays from Sequestered X Bursts
• Reflection Symmetry in Higher Dimensional Black Hole Spacetimes
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory
• Simple solutions to the Einstein Equations in spaces with unusual topology
• An Elementary Derivation of the Five Dimensional Myers-Perry Metric
• No Fermionic Wigs for BPS Attractors in 5 Dimensions
• Charged Static AdS Black Hole Binaries
• Ernst equation and spheroidal coordinates with a cosmological constant term
• Arising of trapped surfaces with non-trivial topology from colliding shock waves
• N=4 Near-Horizon Geometries in D=11 Supergravity
• Six-Dimensional Yang Black Holes in Dilaton Gravity
• The Surface Layers Dual to Hydrodynamic Boundaries
• Analysis of Unbalanced Black Ring Solutions within the Quasilocal Formalism
• Critical phenomena and information geometry in black hole physics
• A Simple Determination of the Thermodynamical Characteristics of a Very Thin Black Ring
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Stability of rapidly-rotating charged black holes in $Ad{S}_5\times S^5$
• On the structure of the ergosurface of Pomeransky-Senkov black rings
• Towards higher dimensional black rings
• Entanglement entropy for non-zero genus topologies
• Emergent Symmetry on Black Hole Horizons
• Degenerating Black Saturns
• Apparent Horizons with Nontrivial Topology and the Hyperhoop Conjecture in Six-Dimensional Space-Times
• On M-theory on Real Toric Fibrations
• Degenerate Black Rings in $D=5$ Minimal Supergravity
• Spherical accretion onto higher-dimensional Reissner-Nordström Black Hole
• Kerr-Schild transformation of the Benenti-Francaviglia metric
• Bubbling saddles of the gravitational index
• Surface Layers in the Gravity/Hydrodynamics Correspondence
• Extremal Black Holes from Homotopy Algebras
• Black Ring Deconstruction
• Strong lensing and Observables around 5D Myers-Perry black hole spacetime
• Black chain of pearls in 5D de Sitter spacetime
• Charging a Double Kerr Solution in 5D Einstein--Maxwell--Kalb--Ramond Theory
• A Simple Determination of the Thermodynamical Characteristics of the Weakly Charged, Very Thin Black Ring
• Quasilocal non-equilibrium dynamics of Φ-spinning black rings
• Weyl-type solutions with multipolar scalar fields
• Limit structure of Future Null Infinity tangent -topology of the event horizon and gravitational wave tail-
• Black hole solutions of modified gravity theories
• Extending the isolated horizon phase space to string-inspired gravity models
• Ultra-spinning Chow's black holes in six-dimensional gauged supergravity and their properties
• Fubini-Study geometries in the higher-dimensional gravity
• Non-supersymmetric F1-P black rings
• Geometry of higher dimensional black holes
• Twistor Theory of Higher-Dimensional Black Holes
• Report on workshop A1: Exact solutions and their interpretation
• Electric Multipole Fields of Higher-Dimensional Massive Bodies
• Dynamical supersymmetry enhancement of black hole horizons
• Hyperelliptic functions and motion in general relativity
• Solitons via Lie-Bäcklund Transformation for 5D Low-energy String Theory
• Hairy strings
• Gravitational multipoles from scattering amplitudes in higher dimensions
• The ubiquity of black holes in modern physics
• The perturbation equation of a static symmetrical homogeneous space-time
• Properties of generalized Schwarzschild spacetimes with extra dimensions