Gregory-Laflamme and Superradiance encounter Black Resonator Strings

Abstract

We construct novel black strings that are neither time-translation invariant, nor axisymmetric, nor translationally invariant in the string direction, but nevertheless have a helical Killing vector field. These solutions branch from the superradiant instability of $D=6$ Myers-Perry black strings with equal angular momenta. We coin these solutions as {\it black resonator strings} and we find that they have more entropy than Myers-Perry black strings for the energies and angular momenta where both solutions coexist. We also construct Kaluza-Klein geons, which share the symmetries of black resonator strings, but are horizonless. Unlike in other superradiant systems, Kaluza-Klein geons are not the horizonless limit of black resonator strings and are instead entirely separate solutions.

arXiv comment35 pages, 8 figures. v2: Matches published version (minor improvements)

References in corpus (66)

• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• The General Kerr-de Sitter Metrics in All Dimensions
• The Instability of Charged Black Strings and p-Branes
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Instability of Ultra-Spinning Black Holes
• On non-uniform black branes
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• Fate of the Black String Instability
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Black holes with only one Killing field
• Instabilities of Black Strings and Branes
• A critical dimension in the black-string phase transition
• Topology change in General Relativity and the black-hole black-string transition
• An instability of higher-dimensional rotating black holes
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Connecting black holes and black strings
• Hairy black holes and solitons in global AdS 5
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• The first law of black brane mechanics
• Properties of Kaluza-Klein black holes
• Black Holes on Cylinders
• Unstable Horizons
• Small Black Holes on Cylinders
• Small Hairy Black Holes in Global AdS Spacetime
• Small Hairy Black Holes in $Ad{S}_5\times S^5$
• Evolution and endpoint of the black string instability: Large D solution
• New Phase Diagram for Black Holes and Strings on Cylinders
• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
• From Black Strings to Black Holes
• Phase Structure of Black Holes and Strings on Cylinders
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• New nonuniform black string solutions
• Nonuniform black strings in various dimensions
• New instability for rotating black branes and strings
• Evidence that highly non-uniform black strings have a conical waist
• Hairy black holes and the endpoint of AdS${}_4$ charged superradiance
• The Black Ring is Unstable
• Stable non-uniform black strings below the critical dimension
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
• Ultraspinning instability: the missing link
• Gyrating Strings: A new instability of black strings?
• Bumpy black holes
• Ultraspinning instability of anti-de Sitter black holes
• Gravitational geons in asymptotically anti-de Sitter spacetimes
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Towards a violation of cosmic censorship
• Hairy Black Holes in AdS${}_5\times S^5$
• Crossing a large-$N$ phase transition at finite volume
• Microcanonical Phases of String Theory on AdS_m x S^n
• On the existence of stationary Ricci solitons
• Black resonators and geons in AdS${}_5$
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions
• The First Law for Boosted Kaluza-Klein Black Holes
• Rotating nonuniform black string solutions
• Critical behavior of the black hole / black string transition
• Multioscillating black holes
• Hairy black resonators and the AdS${}_4$ superradiant instability
• Superradiant instability of black resonators and geons
• Lattice Black Branes: Sphere Packing in General Relativity
• Extremal black holes that are not extremal: maximal warm holes

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• Black hole superradiant instability for massive spin-2 fields
• Instability and backreaction of massive spin-2 fields around black holes
• Superradiance Instabilities of Charged Black Holes in Einstein-Maxwell-scalar Theory
• Superradiance and black resonator strings encounter helical black strings
• The Low Energy Limit of BFSS Quantum Mechanics