Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity

Abstract

Using the AdS/CFT correspondence, we study the hydrodynamics with conserved current from the dual Maxwell-Gauss-Bonnet gravity. After constructing the perturbative solution to the first order based on the boosted black brane solution in the bulk Maxwell-Gauss-Bonnet gravity, we extract the stress tensor and conserved current of the dual conformal fluid on its boundary, and also find the effect of Gauss-Bonnet term on the dual conformal fluid. Our results show that the Gauss-Bonnet term can affect the parameters such as the shear viscosity $\eta$, entropy density $s$, thermal conductivity $\kappa$ and electrical conductivity $\sigma$. However, it does not affect the so-called Wiedemann-Franz law which relates $\kappa$ to $\sigma$, while it affects the ratio $\eta /s$. In addition, another interesting result is that the $\eta /s$ can also be affected by the bulk Maxwell field in our case, which is consistent with some previous results predicted through the Kubo formula. Moreover, the anomalous magnetic and vortical effects by adding the Chern-Simons term are also considered in our case in the Maxwell-Gauss-Bonnet gravity.

V3: 21 pages, no figure, a new section added about the effect of Chern-Simons term, published version

References in corpus (76)

• 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
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Hydrodynamics with Triangle Anomalies
• 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
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Universality of the shear viscosity in supergravity
• Viscosity Bound and Causality Violation
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• Hydrodynamics from charged black branes
• 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
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Holographic Hydrodynamics with a Chemical Potential
• Gauss-Bonnet Black Holes in dS Spaces
• 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
• Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant
• Causality in AdS/CFT and Lovelock theory
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• 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
• Higher derivative effects on eta/s at finite chemical potential
• Black holes in five-dimensional gauged supergravity with higher derivatives
• The shear viscosity of the non-commutative plasma
• An elementary stringy estimate of transport coefficients of large temperature QCD
• Shear viscosity of CFT plasma at finite coupling
• A sticky business: the status of the conjectured viscosity/entropy density bound
• Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum Field Theory?"
• Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation
• Viscosity Bound and Causality in Superfluid Plasma
• 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
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality
• Moduli and electromagnetic black brane holography

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• Charged Dilatonic Black Holes in Gravity's Rainbow
• Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
• Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
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• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
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• Holographic charged fluid dual to third order Lovelock gravity
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• Anomalous transport from holography: Part II
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• 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
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Atiyah-Hitchin in Five Dimensional Einstein-Gauss-Bonnet Gravity
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Universality in the stress tensor for Holographic fluids at the finite cutoff surface via fluid/gravity correspondence
• Sonic velocity in holographic fluids and its applications
• RG flow of AC Conductivity in Soft Wall Model of QCD