Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings

Abstract

Singly-spinning Myers-Perry black holes in d>5 spacetime dimensions are unstable for sufficiently large angular momentum. We numerically construct (in d=6 and d=7) two new stationary branches of lumpy (rippled) black hole solutions which bifurcate from the onset of this ultraspinning instability. We give evidence that one of these branches connects through a topology-changing merger to black ring solutions which we also construct numerically. The other branch approaches a solution with large curvature invariants. We are also able to compare the d=7 ring solutions with results from finite-size corrections to the blackfold approach, finding excellent agreement.

14 pages. 8 figures. v2: Appendix with discussion of numerical details and references added. Matches published version

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Constraints on the effective fluid theory of stationary branes
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution

Cited by in corpus (36)

• Black holes, hidden symmetries, and complete integrability
• Numerical Methods for Finding Stationary Gravitational Solutions
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• Black holes with a single Killing vector field: black resonators
• The Black Ring is Unstable
• Non-uniform black strings and the critical dimension in the $1/D$ expansion
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• Black hole collisions, instabilities, and cosmic censorship violation at large D
• Black rings at large D
• Rotating black holes and black bars at large D
• Bumpy black holes
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Charged rotating black holes in higher dimensions
• Constraints on the effective fluid theory of stationary branes
• Extremal Black Hole Horizons
• Black Droplets
• Black rings in global anti-de Sitter space
• Black Holes and Biophysical (Mem)-branes
• The correspondence between rotating black holes and fundamental strings
• Critical behavior of the black hole / black string transition
• New Geometries for Black Hole Horizons
• Holographic dual of hot Polchinski-Strassler quark-gluon plasma
• Lattice Black Branes: Sphere Packing in General Relativity
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• Black Ripples, Flowers and Dumbbells at large $D$
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Blackfolds, Plane Waves and Minimal Surfaces
• Superradiance and black resonator strings encounter helical black strings
• Charged dilatonic black rings and black saturns and their thermodynamics
• Instabilities of Thin Black Rings: Closing the Gap
• Black hole interactions at large $D$: brane blobology
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Non-Abelian clouds around Reissner-Nordström black holes: the existence line
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Towards higher dimensional black rings