Black Rings

Abstract

A black ring is a five-dimensional black hole with an event horizon of topology S1 x S2. We provide an introduction to the description of black rings in general relativity and string theory. Novel aspects of the presentation include a new approach to constructing black ring coordinates and a critical review of black ring microscopics.

41 pages, 3 figures, invited review for Classical and Quantum Gravity. v2: comments on stability corrected; ref added

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• Gravity solutions for the D1-D5 system with angular momentum
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Black Rings, Boosted Strings and Gregory-Laflamme
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Cited by in corpus (165)

• Black Holes in Higher Dimensions
• Stationary Black Holes: Uniqueness and Beyond
• Near-horizon symmetries of extremal black holes
• Black Saturn
• Stationary ring solitons in field theory - knots and vortons
• Classification of near-horizon geometries of extremal black holes
• Essentials of Blackfold Dynamics
• World-Volume Effective Theory for Higher-Dimensional Black Holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Instabilities of Black Strings and Branes
• Numerical Methods for Finding Stationary Gravitational Solutions
• Bicycling Black Rings
• Black diring and infinite nonuniqueness
• Symmetries of Higher Dimensional Black Holes
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• Einstein-Maxwell-scalar black holes: the hot, the cold and the bald
• Extremal vacuum black holes in higher dimensions
• Higher-dimensional Rotating Charged Black Holes
• Type D Einstein spacetimes in higher dimensions
• Black holes die hard: can one spin-up a black hole past extremality?
• Remnants of Black Rings from Gravity's Rainbow
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Black Holes as Lumps of Fluid
• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Dynamics and Stability of Black Rings
• Observations on fluxes near anti-branes
• A rotating black lens solution in five dimensions
• Charged C-metric with conformally coupled scalar field
• Conformal Symmetry for General Black Holes
• Subtracted Geometry From Harrison Transformations
• Phases of Five-Dimensional Black Holes
• Kerr-Schild Double Copy and Complex Worldlines
• M-theory Superstrata and the MSW String
• Black Rings in Taub-NUT and D0-D6 interactions
• The Black Ring is Unstable
• Statistical Description of Rotating Kaluza-Klein Black Holes
• Black Holes in Higher-Dimensional Gravity
• On Hawking radiation from black rings
• G2 Dualities in D=5 Supergravity and Black Strings
• Note on the First Law with p-form potentials
• Black rings in more than five dimensions
• Integrability of Five Dimensional Minimal Supergravity and Charged Rotating Black Holes
• A Reformulation of the Hoop Conjecture
• Near-horizon analysis of D=5 BPS black holes and rings
• Classical Yang-Mills black hole hair in anti-de Sitter space
• Oscillating supertubes and neutral rotating black hole microstates
• Plasmarings as dual black rings
• Interpreting spacetimes of any dimension using geodesic deviation
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Rotating spacetimes with a cosmological constant
• Black rings at large D
• Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Hawking Radiation of Black Rings from Anomalies
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Geodesic Motion in the Singly Spinning Black Ring Spacetime
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• On Entropy Function for Supersymmetric Black Rings
• Holographic Descriptions of Black Rings
• Multi-black hole configurations on the cylinder
• Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations
• Dynamics of Particles Near Black Hole with Higher Dimensions
• A General Black String and its Microscopics
• 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
• Charged Black Rings at large D
• Non-supersymmetric Microstates of the MSW System
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Geodesic Motion in the (Charged) Doubly Spinning Black Ring Spacetime
• Black rings in global anti-de Sitter space
• Near the horizon of 5D black rings
• Particle Motion in the Rotating Black Ring Metric
• Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
• Probing the universality of synchronised hair around rotating black holes with Q-clouds
• Fundamental Plasmid Strings and Black Rings
• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• Bubbles of nothing in binary black holes and black rings, and viceversa
• Inverse Scattering Construction of a Dipole Black Ring
• Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
• Charged Kaluza-Klein double-black holes in five dimensions
• Charged black holes on a Kaluza-Klein bubble
• Horizon area-angular momentum inequality in higher dimensional spacetimes
• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• Charged black rings in supergravity with a single non-zero gauge field
• Holographic approach of the spinodal instability to criticality
• Perturbative non uniform black strings in ${AdS}_6$
• First Law of Black Rings Thermodynamics in Higher Dimensional Chern-Simons Gravity
• Charged Balanced Black Rings in Five Dimensions
• Three-charge 2J black ring
• Some remarks on the size of bodies and black holes
• Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
• A Charged Doubly Spinning Black Ring
• On Black Ring with a Positive Cosmological Constant
• Counting the microstates of a vacuum black ring
• Black lenses in string theory
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Multi-Black Rings on Eguchi-Hanson Space
• Thermal transitions of metastable M-branes
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings
• A non-Abelian Black Ring
• Algebraic classification of five-dimensional spacetimes using scalar invariants
• New construction of a charged dipole black ring by Harrison transformation
• New stable phase of non uniform black strings in ${AdS}_d$
• BPS D0-D6 Branes in Supergravity
• Phases of Higher Dimensional Black Holes
• Surface Geometry of 5D Black Holes and Black Rings
• Love symmetry in higher-dimensional rotating black hole spacetimes
• First Law of Black Saturn Thermodynamics
• On the Gannon-Lee Singularity Theorem in Higher Dimensions
• Supersymmetric isolated horizons
• On small black holes, KK monopoles and solitonic 5-branes
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• Numerical relativity in higher dimensions
• Doubly Spinning Black Rings
• Gravitating vortons as ring solitons in general relativity
• Bubbles Unbound: Bubbles of Nothing Without Kaluza-Klein
• Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
• Black Objects and Hoop Conjecture in Five-dimensional Space-time
• Soliton mechanics
• Static charged double-black rings in five dimensions
• Are There Four-Dimensional Small Black Rings?
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• CFT Duals of Black Rings With Higher Derivative Terms
• Kasner Metrics and Very Special Geometry
• Charged black holes on the Taub-Bolt instanton
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Probing the near-horizon geometry of black rings
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Symmetries of the refined D1/D5 BPS spectrum
• General triple charged black ring solution in supergravity
• On a mass functional for initial data in 4+1 dimensional spacetime
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Dynamical Black Rings with a Positive Cosmological Constant
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• The asymptotics of stationary electro-vacuum metrics in odd space-time dimensions
• Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring
• Brane World Black Rings
• A black ring on the Taub-bolt instanton in five dimensions
• First Law of p-brane Thermodynamics
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$
• CFT Duals for Black Rings and Black Strings
• Supersymmetric black rings and non-linear sigma models
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• Signatures of Extra Dimensions in Black Hole Jets
• Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds
• The Hoop Conjecture for Black Rings
• Orbifold black holes
• Trapping of Spin-0 fields on tube-like topological defects
• Entanglement entropy due to near horizon degrees of freedom
• Toric Kahler metrics and AdS_5 in ring-like co-ordinates
• Entanglement entropy for non-zero genus topologies
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity
• Three-Charge Supertubes in a Rotating Black Hole Background
• On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole
• Bubbling saddles of the gravitational index
• Index saddle for supersymmetric F1-P black ring
• Report on workshop A1: Exact solutions and their interpretation
• Near Horizon of 5D Rotating Black Holes from 2D Perspective
• Non-supersymmetric F1-P black rings
• Quasilocal non-equilibrium dynamics of Φ-spinning black rings