Black Rings, Boosted Strings and Gregory-Laflamme

Abstract

We investigate the Gregory-Laflamme instability for black strings carrying KK-momentum along the internal direction. We demonstrate a simple kinematical relation between the thresholds of the classical instability for the boosted and static black strings. We also find that Sorkin's critical dimension depends on the internal velocity and in fact disappears for sufficiently large boosts. Our analysis implies the existence of an analogous instability for the five-dimensional black ring of Emparan and Reall. We also use our results for boosted black strings to construct a simple model of the black ring and argue that such rings exist in any number of space-time dimensions.

26 pages, 6 figures

References in corpus (45)

• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• A supersymmetric black ring
• The Instability of Charged Black Strings and p-Branes
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• General Concentric Black Rings
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Supersymmetric black rings and three-charge supertubes
• Instability of Ultra-Spinning Black Holes
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Black Holes and Solitons in String Theory
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• On non-uniform black branes
• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• A critical dimension in the black-string phase transition
• Concentric Black Rings
• Topology change in General Relativity and the black-hole black-string transition
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Connecting black holes and black strings
• Stability and Critical Phenomena of Black Holes and Black Rings
• Formation of Topological Black holes from Gravitational Collapse
• Constant Curvature Black Holes
• Small Black Holes on Cylinders
• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
• On Black-Brane Instability In an Arbitrary Dimension
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• One Ring to Rule Them All ... and in the Darkness Bind Them?
• Energy Extraction from Higher Dimensional Black Holes and Black Rings
• Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes
• No-Hair Theorems and Black Holes with Hair
• New Phases of Near-Extremal Branes on a Circle
• Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
• How hairy can a black ring be?
• On non-uniform smeared black branes
• Smeared D0 charge and the Gubser-Mitra conjecture
• The Gregory-Laflamme instability for the D2-D0 bound state
• Properties of Black Holes in Toroidally Compactified String Theory
• The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability
• Instabilities of D-brane Bound States and Their Related Theories
• Entropy, holography and the second law
• Stability and thermodynamics of black rings

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• The Black Di-Ring: An Inverse Scattering Construction
• Instability of non-supersymmetric smooth geometries
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Extremal vacuum black holes in higher dimensions
• Ultraspinning instability of rotating black holes
• Black Holes as Lumps of Fluid
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• High and Low Dimensions in The Black Hole Negative Mode
• Dynamics and Stability of Black Rings
• Phases of Five-Dimensional Black Holes
• The Black Ring is Unstable
• Black Holes in Higher-Dimensional Gravity
• G2 Dualities in D=5 Supergravity and Black Strings
• Equilibrium configurations of fluids and their stability in higher dimensions
• Superradiant instability of large radius doubly spinning black rings
• Looking at the Gregory-Laflamme instability through quasi-normal modes
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• Boosted black string bombs
• Love Numbers for Rotating Black Holes in Higher Dimensions
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• Stresses and Strains in the First Law for Kaluza-Klein Black Holes
• Energy extraction from boosted black holes: Penrose process, jets, and the membrane at infinity
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• Boosted Black Holes on Kaluza-Klein Bubbles
• A simple test for stability of black hole by $S$-deformation
• Black hole-black string phase transitions from hydrodynamics
• New stable phase of non-uniform charged black strings
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections
• The First Law for Boosted Kaluza-Klein Black Holes
• A Microscopic Model for the Black hole - Black string Phase Transition
• Instability of black strings in third-order Lovelock theory
• Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme
• Extraordinary vacuum black string solutions
• Non-spherically symmetric black string perturbations in the large D limit
• Gregory-Laflamme instability of 5D electrically charged black strings
• Phases of Higher Dimensional Black Holes
• Black Strings, Black Rings and State-space Manifold
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• The decay of hot KK space
• The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior
• Numerical relativity in higher dimensions
• Doubly Spinning Black Rings
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• Superradiance and black resonator strings encounter helical black strings
• Dynamical evolution of phantom scalar perturbation in the background of Schwarzschild black String spacetime
• $R^2$ corrections to the black string instability and the boosted black string
• Stability Analysis of Superconducting Electroweak Vortices
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