Dynamics and Stability of Black Rings

Abstract

We examine the dynamics of neutral black rings, and identify and analyze a selection of possible instabilities. We find the dominating forces of very thin black rings to be a Newtonian competition between a string-like tension and a centrifugal force. We study in detail the radial balance of forces in black rings, and find evidence that all fat black rings are unstable to radial perturbations, while thin black rings are radially stable. Most thin black rings, if not all of them, also likely suffer from Gregory-Laflamme instabilities. We also study simple models for stability against emission/absorption of massless particles. Our results point to the conclusion that most neutral black rings suffer from classical dynamical instabilities, but there may still exist a small range of parameters where thin black rings are stable. We also discuss the absence of regular real Euclidean sections of black rings, and thermodynamics in the grand-canonical ensemble.

39 pages, 17 figures; v2: conclusions concerning radial stability corrected + new appendix + refs added; v3: additional comments regarding stability

References in corpus (23)

• 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
• Nonextremal Black Hole Microstates and U-duality
• Instability of Ultra-Spinning Black Holes
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Black Rings
• Higher dimensional black holes and supersymmetry
• Fate of the Black String Instability
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Stability and Critical Phenomena of Black Holes and Black Rings
• Towards the Final Fate of an Unstable Black String
• Quasilocal Formalism and Black Ring Thermodynamics
• Non-supersymmetric black rings as thermally excited supertubes
• Brane-Antibrane Systems at Finite Temperature and the Entropy of Black Branes
• Black Rings, Boosted Strings and Gregory-Laflamme
• Energy Extraction from Higher Dimensional Black Holes and Black Rings
• Superradiant instability of large radius doubly spinning black rings
• On the fate of black string instabilities: An Observation
• Perturbations and absorption cross-section of infinite-radius black rings

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• Extremal vacuum black holes in higher dimensions
• New Horizons for Black Holes and Branes
• Black holes die hard: can one spin-up a black hole past extremality?
• Ultraspinning instability of rotating black holes
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• Phases of Five-Dimensional Black Holes
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• The Black Ring is Unstable
• Black Holes in Higher-Dimensional Gravity
• G2 Dualities in D=5 Supergravity and Black Strings
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• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
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• Particle Motion in the Rotating Black Ring Metric
• The correspondence between rotating black holes and fundamental strings
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Fundamental Plasmid Strings and Black Rings
• Higher dimensional black holes
• Black Ripples, Flowers and Dumbbells at large $D$
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• New construction of a charged dipole black ring by Harrison transformation
• Surface Geometry of 5D Black Holes and Black Rings
• Instabilities of Thin Black Rings: Closing the Gap
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• Black Rings in Large $D$ Membrane Paradigm at the First Order
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