Black Strings and p-Branes are Unstable

Abstract

We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a range of time frequency and wavelength in the extra $10-D$ dimensions. These perturbations can be stabililized if the extra dimensions are compactified to a scale smaller than the minimum wavelength for which instability occurs and thus will not affect large astrophysical black holes in four dimensions. We comment on the implications of this result for the Cosmic Censorship Hypothesis.

11 pages plain TeX, 2 figures (not included), EFI-93-02 (TeX corrected)

References in corpus (1)

• Black Holes with a Massive Dilaton

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• Holographic approach of the spinodal instability to criticality
• Analytic Study on Chiral Phase Transition in Holographic QCD
• Perturbative non uniform black strings in ${AdS}_6$
• Topology-changing horizons at large D as Ricci flows
• Mathematical General Relativity
• Black String Solutions with arbitrary Tension
• New Restrictions on the Topology of Extreme Black Holes
• Lattice Black Branes: Sphere Packing in General Relativity
• Bridging Dimensions: General Embedding Algorithm and Field-Theory Reconstruction in 5D Braneworld Models
• Dynamical evolution of spinodal decomposition in holographic superfluids
• On the thermodynamic instability of LST
• Instability of black strings in third-order Lovelock theory
• The Collapse of Large Extra Dimensions
• Branes and Black holes in Collision
• On the thermodynamic stability of rotating black holes in higher dimensions -- a comparison of thermodynamic ensembles
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• New instability of non-extremal black holes: spitting out supertubes
• Deconstructing the Little Hagedorn Holography
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
• Asymmetric Swiss-cheese brane-worlds
• Asymptotically flat hairy black holes in massive bigravity
• Black Branes in a Box: Hydrodynamics, Stability, and Criticality
• On the short-distance structure of irrational non-commutative gauge theories
• Phases of Holographic Hawking Radiation on spatially compact spacetimes
• Localized brane-world black hole analytically connected to an AdS${}_5$ boundary
• Stationary black holes: Large $D$ analysis
• Braneworld Black Bounce to Transversable Wormhole
• Elastic instability of black rings at large D
• Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme
• Moving Defects in AdS/CFT
• Black holes in massive conformal gravity
• Motion of charged particles around a magnetic black hole/topological star with a compact extra dimension
• Entropy production and entropic attractors in black hole fusion and fission
• Black holes in new massive conformal gravity
• Explosive black hole fission and fusion in large extra dimensions
• Black Ripples, Flowers and Dumbbells at large $D$
• Benchmarks on the brane
• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• Quasinormal modes of a semi-holographic black brane and thermalization
• Braneworld Kaluza-Klein Corrections in a Nutshell
• Higher Dimensional Charged Rotating Dilaton Black Holes
• Stringy negative-tension branes and the second law of thermodynamics
• Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability
• Gravitational Instabilities and Censorship of Large Scalar Field Excursions
• Stability of linear dilaton black holes at the Hagedorn temperature
• What lattice theorists can do for superstring/M-theory
• Graviton Propagators in Supergravity and Noncommutative Gauge Theory
• Extraordinary vacuum black string solutions
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Gregory-Laflamme encounters Superradiance
• Perturbations and absorption cross-section of infinite-radius black rings
• Charged black strings and black branes in Lovelock theories
• Phase diagram for non-axisymmetric plasma balls
• Critical Kaluza-Klein black holes and black strings in D = 10
• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• On Black Ring with a Positive Cosmological Constant
• Nonlinear instability of wormholes supported by exotic dust and a magnetic field
• Three-Charge Black Holes on a Circle
• Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio
• Braneworld Black Holes
• Perturbative decay of anti-branes in flux backgrounds due to space time instabilities
• Black String in Massive Gravity
• Excited hairy black holes: dynamical construction and level transitions
• Gregory-Laflamme instability of 5D electrically charged black strings
• Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes
• Clearing the Throat: Irrelevant Operators and Finite Temperature in Large n Gauge Theory
• Laval nozzle as an acoustic analogue of a massive field
• Instabilities of D-brane Bound States and Their Related Theories
• Black strings in (4+1)-dimensional Einstein-Yang-Mills theory
• Weak cosmic censorship in Born-Infeld electrodynamics and bound on charge-to-mass ratio
• Stabilizing Homogeneous Black Strings in AdS
• Fast Scramblers Of Small Size
• Probing the Hydrodynamic Limit of (Super)gravity
• Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars
• Dynamical instabilities and quasi-normal modes, a spectral analysis with applications to black-hole physics
• Holography Abhors Visible Trapped Surfaces
• Non-spherically symmetric black string perturbations in the large D limit
• Decoupling limit and throat geometry of non-susy D3 brane
• Black ring formation in particle systems
• Dynamical Behavior of the BTZ Black Hole
• Quantum Effects in Black Holes from the Schwarzschild Black String?
• Fluid/gravity correspondence and the CFM black brane solutions
• Hoop Conjecture and Cosmic Censorship in the Brane-World
• Through the Looking Glass into the Dark Dimension: Searching for Bulk Black Hole Dark Matter with Microlensing of X-ray Pulsars
• Subregion Entropy for the Doubly Holographic Global Black String
• A black hole with torsion in 5D Lovelock gravity
• Schwarzschild black hole in the dilatonic domain wall
• Phases of Higher Dimensional Black Holes
• Quantum evolution of the Hawking state for black holes
• New stable phase of non uniform black strings in ${AdS}_d$
• M-branes, anti-M-branes and nonextremal black holes
• Lecture Notes: Numerical Relativity in higher dimensional spacetimes
• Absorption Cross-Section and Decay Rate of Dilatonic Black Strings
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• Black Strings, Black Rings and State-space Manifold
• Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
• Spatial infinity in higher dimensional spacetimes
• Gregory-Laflamme instability of BTZ black hole in new massive gravity
• On turbulence for spacetimes with stable trapping
• General Relativity from Einstein-Gauss-Bonnet gravity
• On the Stability of Black Strings/Branes
• Intersecting non-SUSY branes and closed string tachyon condensation
• Lovelock Branes
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Open problems in mathematical physics
• The decay of hot KK space
• Instability of a membrane intersecting a black hole
• Quasinormal ringing on the brane
• On topological charged braneworld black holes
• On the Localisation of 4-Dimensional Brane-World Black Holes II: the general case
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• Lumps of plasma in arbitrary dimensions
• Semiclassical Einstein equations from holography and boundary dynamics
• Cosmology in Six Dimensions
• 5d Black holes, wrapped fivebranes and 3d Chern-Simons Super Yang-Mills
• Exact constraints on D$\le 10$ Myers Perry black holes and the Wald Problem
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior
• White-hole dark matter and the origin of past low-entropy
• Stability issues of black hole in non-local gravity
• Black hole stability in Jordan and Einstein frames
• Charged black holes in compactified spacetimes
• The energy and stability of D-term strings
• Numerical relativity in higher dimensions
• Wormholes with a warped extra dimension?
• Interior of Nonuniform Black Strings
• Ultraspinning limits and rotating hyperboloid membranes
• AdS/CFT, Multitrace Deformations and New Instabilities of Nonlocal String Theories
• String Theory in a Pinch: Resolving the Gregory-Laflamme Singularity
• Perturbations of Gauss-Bonnet Black Strings in Codimension-2 Braneworlds
• Supersymmetric Rotating Black Hole in a Compactified Spacetime
• On matched asymptotic expansions of backreacting metastable anti-branes
• On Witten's Instability and Winding Tachyons
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Non-linear perturbation of black branes at large $D$
• Black Holes in Multi-Metric Gravity
• A critical dimension for the stability of perfect fluid spheres of radiation
• Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• Geometrical properties of the trans-spherical solutions in higher dimensions
• The fate of black branes in Einstein-Gauss-Bonnet gravity
• Brane Universes and the Cosmological Constant
• Large N Reductions and Holography
• Second order perturbations in the radius stabilized Randall-Sundrum two branes model II -- Effect of relaxing strong coupling approximation --
• Statistical Origin of Black Hole Entropy in Matrix Theory
• Instability of Schwarzschild-AdS black hole in Einstein-Weyl gravity
• Superradiance and black resonator strings encounter helical black strings
• Properties of non-extremal enhancons
• D(NA)-Branes
• Stability of the non-extremal enhancon solution I: perturbation equations
• Higher Dimensional Generalizations of the Kerr Black Hole
• Constraint propagation in N+1-dimensional space-time
• Casimir effect and thermodynamics of horizon instabilities
• Dynamical evolution of phantom scalar perturbation in the background of Schwarzschild black String spacetime
• Measuring the last burst of non-singular black holes
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Cosmic Censorship at Large D: Stability analysis in polarized AdS black branes (holes)
• Schwarzschild generalized black hole horizon and the embedding space
• Stability analysis and absorption cross-section in three-dimensional black string
• $R^2$ corrections to the black string instability and the boosted black string
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Numerical Relativity Beyond Astrophysics
• Thermodynamics and Stability of Flat Anti-de Sitter Black Strings
• Massive fields affected by echoes: New physics vs. astrophysical environment
• Instabilities of Thin Black Rings: Closing the Gap
• The large D effective theory of black strings in AdS
• Fate of Kaluza-Klein Black Holes: Evaporation or Excision?
• Transient Astrophysical Pulses and Quantum Gravity
• Black Holes and Black Strings on Cylinders
• Holographic Magnetisation Density Waves
• Compactification, topology change and surgery theory
• Threebrane Absorption and Emission from a Brane-Antibrane System
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory
• Spontaneous scalarization in (A)dS gravity at zero temperature
• Spontaneous Deformation of an AdS Spherical Black Hole
• Quantum censors: backreaction builds horizons
• The Confining Transition in the Bosonic BMN Matrix Model
• p-Brane Black Holes as Stability Islands
• Extreme mass ratio inspirals around topological stars
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• To go or not to go with the flow: Hawking radiation at strong coupling
• Free energy dependence on spatial geometry for (2+1)-dimensional QFTs
• Confinement and the AdS/CFT Correspondence
• Black hole interactions at large $D$: brane blobology
• Charged seven-dimensional spacetimes with spherically symmetric extra-dimensions
• Charged black strings in a five-dimensional Kasner universe
• Stability of Schwarzshild black holes in quadratic gravity with Weyl curvature domination
• Quasinormal modes of a charged black hole with scalar hair
• Wilson loop calculation in QGP using non-supersymmetric AdS/CFT
• Warped embeddings between Einstein manifolds
• Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation
• Unveiling horizons in quantum critical collapse
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Gravitational Forces on a Codimension-2 Brane
• Weak-field approximation of effective gravitational theory with local Galilean invariance
• Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity
• Effect of temperature gradient on heavy quark anti-quark potential using gravity dual model
• Stability of branes trapped by d-dimensional black holes
• Small black holes in $Ad{S}_5\times S^5$
• Gravitational waves in the black string braneworld
• Emergence of the fuzzy horizon through gravitational collapse
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• Brane World Black Rings
• Dilaton test of connection between AdS_3 X S^3 and 5D black hole
• Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S
• Charged Nariai black holes on the dark bubble
• An infinity of black holes
• Holographic insights and puzzles
• String or branelike solutions in four-dimensional Einstein gravity in the presence of cosmological constant
• Entropy of BTZ black strings in the brick wall approach
• Static black holes with a negative cosmological constant: Deformed horizon and anti-de Sitter boundaries
• First Law of p-brane Thermodynamics
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Stationary vacuum hyper-cylindrical solution in 4+1 dimensions
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• Critical Dynamics in Holographic First-Order Phase Transition
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Rotating Black Holes in Higher Dimensional Brane Worlds
• Regular Schwarzschild-like spacetime embedded in a five dimensional bulk
• Black holes and the phases of brane thermodynamics
• Black Topologies Production in Extra Dimensions
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$
• Thin-wall vacuum decay in the presence of a compact dimension
• Flux Compactifications Grow Lumps
• Black holes and thermodynamics of non-gravitational theories
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• A new exact solution of black-strings-like with a dS core
• Cosmic D- and DF-strings from D3Dbar3: Black Strings and BPS Limit
• (Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
• AdS boson stars in string theory
• Critical lumpy black holes in AdS${}_p\times S^q$
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions
• Towards Fluid Instabilities of Stationary Non-Killing Horizons
• Black Tunnels and Hammocks
• On stability of nonthermal states in strongly coupled gauge theories
• Gregory-Laflamme instability of a slowly rotating black string
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• One-Dimensional Approximation of Viscous Flows
• Black String Perturbations in RS1 Model
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• A four-dimensional description of five-dimensional N-brane models
• Arbitrary black-string deformations in the black string-black hole transitions
• Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity
• Curved Membrane Solutions in D=11 Supergravity
• CFT Duals for Black Rings and Black Strings
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• Quantum Critical Collapse Abhors a Naked Singularity
• Formation of a Black String in a Higher Dimensional Vacuum Gravitational Collapse
• Kerr-Schild Method and Geodesic Structure in Codimension-2 Brane Black Holes
• Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
• The possibility of a stable flat dark energy-dominated Swiss-cheese Brane-world universe with a deceleration-acceleration transition
• Black Strings in Our World
• Lattice Black Branes at Large $D$
• Geodesic motions in extraordinary string geometry
• Non-abelian magnetic black strings versus black holes
• Brane Holes
• Constraining the Rate of Primordial Black-Hole Explosions and Extra Dimension Scale using a Low-Frequency Radio Antenna Array
• Deformations of anti-de Sitter black holes
• Perturbations of moving membranes in AdS_7
• Absorption Cross Section of Smeared D3-Brane on a Circle
• Caged black hole with Maxwell charge
• Stability properties of Hawking radiation in the presence of ultraviolet violation of local Lorentz invariance
• Black branes in flux compactifications
• Scalar filed evolution and area spectrum for Lovelock-AdS black holes
• Evaporating (2+1)-dimensional black strings
• Black string and velocity frame dragging
• A note on non-commutative dynamics of spinning D0 branes
• Hydrodynamic and Rayleigh-Plateau instabilities of Q-strings
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities
• D-dependence of gap between critical temperatures in one-dimensional gauge theories
• New frontiers in Numerical Relativity
• Violation of Weak Cosmic Censorship in Einstein-Maxwell-dilaton theory: singularities connected by traversable wormholes
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Dynamical Transition from a Naked Singularity to a Black Hole
• Exact charged black hole solutions in D-dimensions in f(R) gravity
• The nonperturbative phase diagram of the bosonic BMN matrix model
• S-wave absorption of scalars by noncommutative D3-branes
• On explicit thermodynamic functions and extremal limits of Myers-Perry black holes
• Note on the thermodynamic stability of a black ring at quantum scales
• Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D
• The Black hole Black string phase transition in Einstein-Gauss-Bonnet gravity
• Black branes with cosmological constant
• Comments on the Entropy and the Temperature of Non-extremal Black p-Brane
• Generating Black Strings in Higher Dimensions
• de Sitter Entropy from a lower dimensional black hole
• Non-linear instability of slowly rotating Kerr-AdS black holes
• Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential
• Simple solutions to the Einstein Equations in spaces with unusual topology
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory
• The Holographic Interpretation of Hawking Radiation
• Critical phenomena and information geometry in black hole physics
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Formation of Five-Dimensional String Solutions from the Gravitational Collapse
• Gravitational Instabilities of Uniform Black Strings in AdS
• On black holes in heterotic braneworlds
• Non-Abelian clouds around Reissner-Nordström black holes: the existence line
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• Superradiant instability of the Kerr brane
• Jacobi equations of geodetic brane gravity
• On critical dimension in spherical black brane phase transition
• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
• A Reverse Black Hole Information Problem
• On the construction of asymptotically flat initial data in scalar-tensor effective field theory
• Kerr-Schild Double Copy of the Randall-Sundrum Black String
• You Cannot Press Out the Black Hole
• Configuration entropy and instability of accelerating black hole in AdS
• BTZ Solutions on Codimension-2 Braneworlds
• Negative mode of Schwarzschild black hole from the thermodynamic instability
• Quantum Chaos and Unitary Black Hole Evaporation
• Remarks on the instability of black Dp-branes
• Analysis of spherically symmetric black holes in Braneworld models
• Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills
• Analytic evidence for the Gubser-Mitra conjecture
• A Holographic Holographic Bound and the Black Hole S-Matrix
• Black hole dynamics from thermodynamics in Anti-de Sitter space
• Energy density bounds for black strings
• Black hole solutions of modified gravity theories
• Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories
• Black chain of pearls in 5D de Sitter spacetime
• The Low Energy Limit of BFSS Quantum Mechanics
• Properties of generalized Schwarzschild spacetimes with extra dimensions
• Toroidal AdS Charged Branes and Toda Equations
• Report on workshop A1: Exact solutions and their interpretation
• All Static Black Holes in AdS${}_3$
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability
• Phases of Thermal Super Yang-Mills
• Phase structures of the black D$p$-D$(p+4)$-brane system in various ensembles II: electrical and thermodynamic stability
• Matters of Gravity, The Newsletter of the Topical Group in Gravitation of the American Physical Society, Volume 31, Winter 2008
• D=7 selfdual string in the 5-brane
• A Novel Approach to Braneworld
• The Stability of D-term Cosmic Strings
• Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology
• Stability of AdS black strings
• An effective theory for higher-dimensional black holes and applications to metastable antibranes
• Fuzzy Black Holes from Mass Generation in Matrix Compactification