Probing the Hydrodynamic Limit of (Super)gravity

Abstract

We study the long-wavelength effective description of two general classes of charged dilatonic (asymptotically flat) black p-branes including D/NS/M-branes in ten and eleven dimensional supergravity. In particular, we consider gravitational brane solutions in a hydrodynamic derivative expansion (to first order) for arbitrary dilaton coupling and for general brane and co-dimension and determine their effective electro-fluid-dynamic descriptions by exacting the characterizing transport coefficients. We also investigate the stability properties of the corresponding hydrodynamic systems by analyzing their response to small long-wavelength perturbations. For branes carrying unsmeared charge, we find that in a certain regime of parameter space there exists a branch of stable charged configurations. This is in accordance with the expectation that D/NS/M-branes have stable configurations, except for the D5, D6, and NS5. In contrast, we find that Maxwell charged brane configurations are Gregory-Laflamme unstable independently of the charge and, in particular, verify that smeared configurations of D0-branes are unstable. Finally, we provide a modification to the mapping presented in arxiv:1211.2815 and utilize it to provide a non-trivial cross-check on a certain subset of our transport coefficients with the results of arXiv:1110.2320.

arXiv comment36 pages, 2 figures. v2: Added reference and corrected typo

References in corpus (37)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Dirichlet-Branes and Ramond-Ramond Charges
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Black Strings and p-Branes are Unstable
• Holography and hydrodynamics: diffusion on stretched horizons
• Fluid dynamics of R-charged black holes
• Universality of the shear viscosity in supergravity
• Hydrodynamics from charged black branes
• The Instability of Charged Black Strings and p-Branes
• The evolution of unstable black holes in anti-de Sitter space
• Hydrodynamics of R-charged black holes
• Bulk viscosity of gauge theory plasma at strong coupling
• Essentials of Blackfold Dynamics
• From Navier-Stokes To Einstein
• Universal hydrodynamics of non-conformal branes
• Instabilities of Black Strings and Branes
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Topology change in General Relativity and the black-hole black-string transition
• Black string instabilities in anti-de Sitter space
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Wilsonian Approach to Fluid/Gravity Duality
• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• Forced Fluid Dynamics from Gravity
• Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT
• Intersection Rules for p-Branes
• Higher-dimensional Rotating Charged Black Holes
• Blackfolds in Supergravity and String Theory
• Black Brane Viscosity and the Gregory-Laflamme Instability
• The Young Modulus of Black Strings and the Fine Structure of Blackfolds
• AdS/Ricci-flat correspondence
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• Effective hydrodynamics of black D3-branes
• Smeared D0 charge and the Gubser-Mitra conjecture
• Hydrodynamic Regimes of Spinning Black D3-Branes
• Kaluza-Klein reduction of relativistic fluids and their gravity duals

Cited by in corpus (9)

• Hydro-elastic Complementarity in Black Branes at large D
• Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
• Dissipative hydrodynamics with higher-form symmetry
• New Geometries for Black Hole Horizons
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Thermal transitions of metastable M-branes
• Instabilities of Thin Black Rings: Closing the Gap
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• New asymptotically (Anti)-de Sitter black holes in (super)gravity