Smeared branes and the Gubser-Mitra conjecture

Abstract

We show that smeared brane solutions, where a charged black p-brane is smeared uniformly over one of the transverse directions, can have a Gregory-Laflamme type dynamical instability in the smeared direction even when the solution is locally thermodynamically stable. These thus provide counterexamples to the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. The existence of a dynamical instability is demonstrated by exploiting an ansatz due to Harmark and Obers, which relates charged solutions to neutral ones.

7p, 2 figures

References in corpus (22)

• Black Strings and p-Branes are Unstable
• The Instability of Charged Black Strings and p-Branes
• The evolution of unstable black holes in anti-de Sitter space
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• On non-uniform black branes
• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes
• Instability of charged black holes in anti-de Sitter space
• A critical dimension in the black-string phase transition
• Towards the Final Fate of an Unstable Black String
• Black Holes on Cylinders
• Unstable Horizons
• New Phase Diagram for Black Holes and Strings on Cylinders
• From Black Strings to Black Holes
• Phase Structure of Black Holes and Strings on Cylinders
• Stable Black Strings in Anti-de Sitter Space
• Stability and the negative mode for Schwarzschild in a finite cavity
• Gyrating Strings: A new instability of black strings?
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture
• Universality classes for horizon instabilities
• Classical Stability of Black D3-branes
• Instability of generalised AdS black holes and thermal field theory

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• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• On non-uniform smeared black branes
• Multi-black hole configurations on the cylinder
• Smeared D0 charge and the Gubser-Mitra conjecture
• The Gregory-Laflamme instability for the D2-D0 bound state
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Thermodynamics of the Near-Extremal NS5-brane
• Three-Charge Black Holes on a Circle
• Instabilities of D-brane Bound States and Their Related Theories
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory