On Brane Instabilities in the Large $D$ Limit

Abstract

Using an expansion in large number of dimensions, taken to subleading orders, we discuss several issues concerning the Gregory-Laflamme instabilities. We map out the phase diagram of neutral and charged black strings, and comment on the possible transition in the nature of the final state of the instability at higher order in the 1/D expansion. We also discuss unstable black membranes, and show that in certain limits the preferred shape of the non-uniform phase is a triangular lattice.

20 pages, 4 figures; v3: published version

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• Instabilities of Black Strings and Branes
• A critical dimension in the black-string phase transition
• Higher-dimensional Rotating Charged Black Holes
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• Black Brane Viscosity and the Gregory-Laflamme Instability
• The holographic dual of a Riemann problem in a large number of dimensions
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Cited by in corpus (29)

• The Large D Limit of Einstein's Equations
• The large D black hole Membrane Paradigm at first subleading order
• Currents and Radiation from the large $D$ Black Hole Membrane
• Phases and Stability of Non-Uniform Black Strings
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Unstable `black branes' from scaled membranes at large $D$
• Rotating black holes and black bars at large D
• An Action for and Hydrodynamics from the improved Large D membrane
• Static Gauss-Bonnet Black Holes at Large $D$
• Charged Black Rings at large D
• The large D black hole dynamics in AdS/dS backgrounds
• Black holes in presence of cosmological constant: Second order in 1/D
• Holographic Bjorken Flow at Large-D
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Large D holography with metric deformations
• Stationary Solutions from the Large D Membrane Paradigm
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• Lattice Black Branes: Sphere Packing in General Relativity
• The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity
• Non-linear perturbation of black branes at large $D$
• The Fate of Instability of de Sitter Black Holes at Large $D$
• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• Black hole interactions at large $D$: brane blobology
• Lattice Black Branes at Large $D$
• Black hole one-loop determinants in the large dimension limit
• Stress Tensor for Large-$D$ membrane at subleading orders
• Squashed black holes at large $D$