The Black Di-Ring: An Inverse Scattering Construction

Abstract

We use the inverse scattering method (ISM) to derive concentric non-supersymmetric black rings. The approach used here is fully five-dimensional, and has the modest advantage that it generalizes readily to the construction of more general axi-symmetric solutions.

v3: 2 subsections added, typos fixed, more refs, journal version. v4: a transcription error in the ADM mass fixed

References in corpus (15)

• Black diring and infinite nonuniqueness
• Black ring with two angular momenta
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
• Phases of Five-Dimensional Black Holes
• Solitonic generation of five-dimensional black ring solution
• Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions
• Relationship Between Solitonic Solutions of Five-Dimensional Einstein Equations
• Boosted Black Holes on Kaluza-Klein Bubbles
• Metastable Black Saturns
• Rotating Black Holes on Kaluza-Klein Bubbles
• First Law of Black Saturn Thermodynamics
• Doubly Spinning Black Rings

Cited by in corpus (79)

• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Bicycling Black Rings
• 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
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• A Comment on Kerr-CFT and Wald Entropy
• A (Running) Bolt for New Reasons
• Supergravity Solutions from Floating Branes
• Hidden Conformal Symmetries of Five-Dimensional Black Holes
• Black Rings in Taub-NUT and D0-D6 interactions
• The Many Phases of Holographic Superfluids
• The Black Ring is Unstable
• Black Holes in Higher-Dimensional Gravity
• Geometric Engineering 5d Black Holes with Rod Diagrams
• Ultraspinning instability: the missing link
• On the uniqueness of extremal vacuum black holes
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Black holes on gravitational instantons
• Ultraspinning instability of anti-de Sitter black holes
• Multi-black rings and the phase diagram of higher-dimensional black holes
• 5D Einstein-Maxwell solitons and concentric rotating dipole black rings
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Dynamics of Particles Near Black Hole with Higher Dimensions
• Quasilocal equilibrium condition for black ring
• Black Hole Vacua and Rotation
• $d\ge 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology
• Extremal Black Hole Horizons
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Unbalanced Pomeransky-Sen'kov black ring
• Black rings in global anti-de Sitter space
• Domain Structure of Black Hole Space-Times
• New generalized nonspherical black hole solutions
• Stable Bound Orbits around Black Rings
• Stable Bound Orbits of Massless Particles around a Black Ring
• Higher dimensional black holes
• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
• Inverse Scattering Construction of a Dipole Black Ring
• Charged Kaluza-Klein double-black holes in five dimensions
• Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
• Magnetized static black Saturn
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• New instability of non-extremal black holes: spitting out supertubes
• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• An electrically charged doubly spinning dipole black ring
• Three-charge 2J black ring
• Tomograms of Spinning Black Holes
• New construction of a charged dipole black ring by Harrison transformation
• Rotating black ring on Kaluza-Klein bubbles
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• Vortices in (2+1)d Conformal Fluids
• Lumps of plasma in arbitrary dimensions
• On the black hole species (by means of natural selection)
• Black Objects and Hoop Conjecture in Five-dimensional Space-time
• Static charged double-black rings in five dimensions
• Charged dilatonic black rings and black saturns and their thermodynamics
• Charged black rings from inverse scattering
• Charged black holes on the Taub-Bolt instanton
• On the backreaction of frame dragging
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Multipole moments for black objects in five dimensions
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Dynamical Black Rings with a Positive Cosmological Constant
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Thermodynamic black di-rings
• Balanced electric-magnetic dihole in Kaluza-Klein theory
• A Distorted Black Ring
• A black ring on the Taub-bolt instanton in five dimensions
• On Universality of Ergoregion Mergers
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• Ghost points in inverse scattering constructions of stationary Einstein metrics
• Stationary Vacuum Black Holes in 5 Dimensions
• Towards higher dimensional black rings
• The Surface Layers Dual to Hydrodynamic Boundaries
• Surface Layers in the Gravity/Hydrodynamics Correspondence
• Hidden symmetries in 5D supergravities and black rings