The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity

Abstract

In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of boundary coordinates, and then solving the corresponding correction terms, we calculate the first order stress-energy tensor of the dual conformal field. From this first order stress-energy tensor, we also obtain the shear viscosity and entropy density. And these results are consistent with those of some previous works from the effective coupling of gravitons.

v4: 14 pages, no figure, some typos corrected and minor changes based on the JHEP verison for more consistency

References in corpus (60)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A Stress Tensor for Anti-de Sitter Gravity
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Gauss-Bonnet Black Holes in AdS Spaces
• From AdS/CFT correspondence to hydrodynamics
• Lectures on Holographic Superfluidity and Superconductivity
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity Bound Violation in Higher Derivative Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Fluid dynamics of R-charged black holes
• Universality of the shear viscosity in supergravity
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Holographic GB gravity in arbitrary dimensions
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Misner String Entropy
• Hydrodynamics of R-charged black holes
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• On universality of stress-energy tensor correlation functions in supergravity
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Universal hydrodynamics of non-conformal branes
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Quantum corrections to eta/s
• Shear Viscosity from Effective Couplings of Gravitons
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Holographic Lovelock Gravities and Black Holes
• Shear viscosity from R-charged AdS black holes
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Causality in AdS/CFT and Lovelock theory
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Transport properties of N=4 supersymmetric Yang-Mills theory at finite coupling
• Is there a "most perfect fluid" consistent with quantum field theory?
• Shear viscosity of boost invariant plasma at finite coupling
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• (Un)attractor black holes in higher derivative AdS gravity
• Shear Viscosity from AdS Born-Infeld Black Holes
• The ratio of shear viscosity to entropy density in generalized theories of gravity
• The Viscosity Bound Conjecture and Hydrodynamics of M2-Brane Theory at Finite Chemical Potential
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• The shear viscosity of the non-commutative plasma
• An elementary stringy estimate of transport coefficients of large temperature QCD
• A sticky business: the status of the conjectured viscosity/entropy density bound
• Shear viscosity of CFT plasma at finite coupling
• Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum Field Theory?"
• Phase Transitions and the Perfectness of Fluids
• The bound on viscosity and the generalized second law of thermodynamics
• Hydrodynamics with conserved current from the gravity dual
• The shear diffusion coefficient for generalized theories of gravity
• First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality
• The status of the KSS bound and its possible violations (How perfect can a fluid be?)

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• Holographic thermalization in Gauss-Bonnet gravity
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Holographic Forced Fluid Dynamics in Non-relativistic Limit
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Black hole initial data in Gauss-Bonnet gravity: Momentarily static case
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Composite-particle hydrodynamics from dyonic black branes
• Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Magnetic Brane of Cubic Quasi-Topological Gravity in the Presence of Maxwell and Born-Infeld Electromagnetic Field
• Universality in the stress tensor for Holographic fluids at the finite cutoff surface via fluid/gravity correspondence
• Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation
• Sonic velocity in holographic fluids and its applications