Self-similar critical geometries at horizon intersections and mergers

Abstract

We study topology-changing transitions in the space of higher-dimensional black hole solutions. Kol has proposed that these are conifold-type transitions controlled by self-similar double-cone geometries. We present an exact example of this phenomenon in the intersection between a black hole horizon and a cosmological deSitter horizon in D >= 6. We also describe local models for the critical geometries that control many transitions in the phase space of higher-dimensional black holes, such as the pinch-down of a topologically spherical black hole to a black ring or to a black p-sphere, or the merger between black holes and black rings in black Saturns or di-rings in D >= 6.

23 pages

References in corpus (5)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• New nonuniform black string solutions
• Ultraspinning instability: the missing link
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution

Cited by in corpus (15)

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• Effective theory of Black Holes in the 1/D expansion
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• Phases and Stability of Non-Uniform Black Strings
• Holographic thermal field theory on curved spacetimes
• Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
• Bumpy black holes
• Critical behavior of the black hole / black string transition
• Black String Flow
• Topology-changing horizons at large D as Ricci flows
• Blackfolds, Plane Waves and Minimal Surfaces
• The large D effective theory of black strings in AdS
• Critical lumpy black holes in AdS${}_p\times S^q$