Black string instabilities in anti-de Sitter space

Abstract

We show how to extend the usual black string instability of vacuum or charged black p-branes to the anti-de Sitter background. The string fragments in an analogous fashion to the $\Lambda =0$ case, the main difference being that instead of a periodic array of black holes forming, an accumulation of ``mini'' black holes occurs towards the AdS horizon. In the case where the AdS space is of finite extent, such as an orbifold compactification, we show how the instability switches off below a certain compactification scale.

8 pages revtex, 2 figures, published version

References in corpus (6)

• Gravity in the Randall-Sundrum Brane World
• An exotic class of Kaluza-Klein models
• Brane-World Black Holes
• Solving the Hierarchy Problem with Noncompact Extra Dimensions
• Nonsingular global string compactifications
• Black Diamonds at Brane Junctions

Cited by in corpus (112)

• Brane-World Gravity
• Brane-world gravity
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• New black holes in the brane-world?
• Charged Rotating Black Holes on a 3-Brane
• Strong gravitational lensing by braneworld black holes
• Black Hole Based Tests of General Relativity
• Gravitational instability in higher dimensions
• Instabilities of Black Strings and Branes
• Numerical Methods for Finding Stationary Gravitational Solutions
• Charged Brane-World Black Holes
• Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua
• Braneworld black holes in cosmology and astrophysics
• Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
• Small localized black holes in a braneworld: Formulation and numerical method
• Relativistic Stars in Randall-Sundrum Gravity
• Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
• Bulk shape of brane-world black holes
• Black Hole Solutions in Braneworlds with Induced Gravity
• Braneworld stars and black holes
• Hawking radiation from AdS black holes
• Brane-world cosmology with black strings
• From Black Strings to Black Holes
• Echoes from the braneworld black holes
• Axisymmetric metrics in arbitrary dimensions
• Stable Black Strings in Anti-de Sitter Space
• Braneworld black holes
• Nested braneworlds and strong brane gravity
• Braneworld Instantons
• Signatures of extra dimensions in gravitational waves from black hole quasi-normal modes
• Evidence that highly non-uniform black strings have a conical waist
• Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
• On the existence and dynamics of braneworld black holes
• Isotropy and Stability of the Brane
• New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld
• Gregory-Laflamme analysis of MGD black strings
• Ergoregion instability and echoes for braneworld black holes: Scalar, electromagnetic and gravitational perturbations
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Holographic thermal field theory on curved spacetimes
• Black holes and dark energy from gravitational collapse on the brane
• Black Funnels
• Rotating spacetimes with a cosmological constant
• Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture
• Ultraspinning instability of anti-de Sitter black holes
• Observing braneworld black holes
• String-Like BTZ on Codimension-2 Braneworlds in the Thin Brane Limit
• Perturbations and Stability of Higher-Dimensional Black Holes
• Time-symmetric initial data of large brane-localized black hole in RS-II model
• Hawking Radiation from Higher-Dimensional Black Holes
• Rotating Brane World Black Holes
• Brane-World Black Holes
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• Second-order light deflection by tidal charged black holes on the brane
• Holography and trace anomaly: what is the fate of (brane-world) black holes?
• Stability of BTZ black strings
• On the Localisation of 4-Dimensional Brane-World Black Holes
• Brick Walls on the Brane
• Casadio-Fabbri-Mazzacurati Black Strings and Braneworld-induced Quasars Luminosity Corrections
• Black Tsunamis and Naked Singularities in AdS
• Black hole formation in Randall-Sundrum II braneworlds
• Rotating Black Droplet
• The Schwarzschild-Black String AdS Soliton: Instability and Holographic Heat Transport
• Anti-Gravitating Brane-World Solutions for a de Sitter Brane in Scalar-Tensor Gravity
• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
• Naked shell singularities on the brane
• Classical Stability of Black D3-branes
• Higgs Vacuum Decay from Particle Collisions?
• Exploring the bulk of tidal charged micro-black holes
• Image formation in weak gravitational lensing by tidal charged black holes
• Asymmetric Swiss-cheese brane-worlds
• Localized brane-world black hole analytically connected to an AdS${}_5$ boundary
• Braneworld Black Bounce to Transversable Wormhole
• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Black String in Massive Gravity
• Probing the Hydrodynamic Limit of (Super)gravity
• Higher-Dimensional Bulk Wormholes and their Manifestations in Brane Worlds
• Quantum Effects in Black Holes from the Schwarzschild Black String?
• Schwarzschild black hole in the dilatonic domain wall
• A comment on multiple vacua, particle production and the time dependent AdS/CFT correspondence
• Hoop Conjecture and Cosmic Censorship in the Brane-World
• Instability of a membrane intersecting a black hole
• On topological charged braneworld black holes
• On the Localisation of 4-Dimensional Brane-World Black Holes II: the general case
• Quasinormal ringing on the brane
• U(1) Gauge Field of the Kaluza-Klein Theory in the Presence of Branes
• Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes
• Black Holes in Multi-Metric Gravity
• Perturbations of Gauss-Bonnet Black Strings in Codimension-2 Braneworlds
• Thermodynamics and Stability of Flat Anti-de Sitter Black Strings
• A Positive Cosmological Constant in String Theory Through Ads/CFT Wormholes
• Gravitational waves in the black string braneworld
• Static Ricci-flat 5-manifolds admitting the 2-sphere
• Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation
• Brane World Black Rings
• New AdS solitons and brane worlds with compact extra-dimensions
• Rotating Black Holes in Higher Dimensional Brane Worlds
• Entropy of BTZ black strings in the brick wall approach
• Regular Schwarzschild-like spacetime embedded in a five dimensional bulk
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• Kerr-Schild Method and Geodesic Structure in Codimension-2 Brane Black Holes
• A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• Gravity-wave detectors as probes of extra dimensions
• On black holes in heterotic braneworlds
• Gravitational Instabilities of Uniform Black Strings in AdS
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology
• Analytic evidence for the Gubser-Mitra conjecture
• Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach
• All Static Black Holes in AdS${}_3$
• Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk