Unstable Horizons

Abstract

We investigate some of the issues relating to the dynamical instability of general static spacetimes with horizons. Our paper will be partially pedagogical and partially exploratory in nature. After discussing the current understanding, we generalize the proposal of Gubser and Mitra, which identifies dynamical instability of black branes with local thermodynamic instability, to include all product spacetimes with the horizon uniformly smeared over an internal space. We support our conjecture by explicitly exhibiting a threshold unstable mode for Schwarzschild-AdS_5 x S^5 black hole. Using the AdS/CFT correspondence, this simultaneously yields a prediction for a phase transition in the dual gauge theory. We also discuss implications for spacetimes with cosmological horizons.

27 pages, 1 figure; added references and comment on warped products

References in corpus (11)

• A rotating black ring in five dimensions
• On non-uniform black branes
• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes
• Bekenstein bounds in de Sitter and flat space
• Classical Stabilization of Homogeneous Extra Dimensions
• Stability of AdS_p x M_q Compactifications Without Supersymmetry
• Stable Black Strings in Anti-de Sitter Space
• Stability and the negative mode for Schwarzschild in a finite cavity
• Inhomogeneous Near-extremal Black Branes
• On the Stability of Black Strings/Branes

Cited by in corpus (76)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Instability of Ultra-Spinning Black Holes
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• 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
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Testing the Weak Gravity -- Cosmic Censorship Connection
• Plasma-balls in large N gauge theories and localized black holes
• The dual of nothing
• Black Holes on Cylinders
• Small Hairy Black Holes in Global AdS Spacetime
• A comment on black hole entropy or does Nature abhor a logarithm?
• Small Hairy Black Holes in $Ad{S}_5\times S^5$
• Holographic models of de Sitter QFTs
• From Black Strings to Black Holes
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Unbounded entropy in spacetimes with positive cosmological constant
• Wormholes and black hole microstates in AdS/CFT
• The Large D Limit of Einstein's Equations
• A proposal of the gauge theory description of the small Schwarzschild black hole in AdS${}_5\times$S${}^5$
• How big are the smallest drops of quark-gluon plasma?
• Holographic Relaxation of Finite Size Isolated Quantum Systems
• A new dynamical instability in Anti-de-Sitter spacetime
• Lumpy AdS${}_5\times$ S${}^5$ Black Holes and Black Belts
• Localised $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Black Holes
• Origin of black string instability
• Instabilities of the Small Black Hole: a view from N=4 SYM
• Stability of five-dimensional rotating black holes projected on the brane
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture
• AdS (in)stability: an analytic approach
• Hairy Black Holes in AdS${}_5\times S^5$
• Smeared branes and the Gubser-Mitra conjecture
• The endpoint of the Gregory-Laflamme instability of black strings revisited
• String Stars in Anti de Sitter Space
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• Universality classes for horizon instabilities
• The Large Dimension Limit of a Small Black Hole Instability in Anti-de Sitter Space
• Perturbative Calculation of Quasinormal Modes of $d$--Dimensional Black Holes
• Unstable horizons and singularity development in holography
• Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes
• Stability of the microcanonical ensemble in Euclidean Quantum Gravity
• Thermodynamic and dynamical stability of Freund-Rubin compactification
• New phases of $\mathcal{N}=4$ SYM at finite chemical potential
• Hedgehog black holes and the Polyakov loop at strong coupling
• Compactified holographic conformal order
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability
• A bestiary of black holes on the conifold with fluxes
• Weak cosmic censorship in Born-Infeld electrodynamics and bound on charge-to-mass ratio
• Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio
• Instability of generalised AdS black holes and thermal field theory
• Plasma balls/kinks as solitons of large $N$ confining gauge theories
• On the Stability of Black Strings/Branes
• Small black holes in global AdS spacetime
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Instability of de Sitter brane and horizon entropy in a 6D braneworld
• Black hole spectra in holography: consequences for equilibration of dual gauge theories
• Free energy dependence on spatial geometry for (2+1)-dimensional QFTs
• Small black holes in $Ad{S}_5\times S^5$
• Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
• Critical lumpy black holes in AdS${}_p\times S^q$
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime
• Metastability and instability in holographic gauge theories
• On stability of nonthermal states in strongly coupled gauge theories
• AdS boson stars in string theory
• Violation of Weak Cosmic Censorship in Einstein-Maxwell-dilaton theory: singularities connected by traversable wormholes
• Gauge theory description of the fate of the small Schwarzschild blackhole
• The Canonical Ensemble Reloaded: The Complex-Stability of Euclidean quantum gravity for Black Holes in a Box