Fluid/Gravity Correspondence, Local Wald Entropy Current and Gravitational Anomaly

Abstract

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general gravity actions with an algebraic dependence on the Riemann tensor. As a detailed example, we consider five-dimensional Einstein-Maxwell theory with a mixed gauge-gravitational Chern-Simons term. In this theory, we construct the proposed entropy current on a charged black-brane background, and show that it has a non-negative divergence. Moreover, a complete correspondence between the charged black-brane horizon's dynamics and the hydrodynamics of an anomalous four-dimensional field theory is established. Our proposed entropy current is then found to coincide with the entropy current of the anomalous field theory fluid.

44 pages

References in corpus (13)

• Nonlinear Fluid Dynamics from Gravity
• Gravitational Anomaly and Transport
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Relativistic Hydrodynamics with General Anomalous Charges
• Local Fluid Dynamical Entropy from Gravity
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Entropy Current in Conformal Hydrodynamics
• Fluid/gravity model for the chiral magnetic effect
• The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
• The Relativistic Rindler Hydrodynamics
• The relativistic fluid dual to vacuum Einstein gravity
• Entropy increase during physical processes for black holes in Lanczos-Lovelock gravity
• Holographic Non-Abelian Charged Hydrodynamics from the Dynamics of Null Horizons

Cited by in corpus (33)

• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• The Relativistic Rindler Hydrodynamics
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Entropy Current from Partition Function: One Example
• The no-drag frame for anomalous chiral fluid
• Anomalies and the Helicity of the Thermal State
• Frequency dependence of the Chiral Vortical Effect
• Towards a general fluid/gravity correspondence
• Holographic Forced Fluid Dynamics in Non-relativistic Limit
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics
• An entropy current for dynamical black holes in four-derivative theories of gravity
• Holographic Flow of Anomalous Transport Coefficients
• Conformal Anomalies in Hydrodynamics
• Drag force to all orders in gradients
• Holographic Thermal Helicity
• The Wald entropy formula and loop quantum gravity
• The Navier-Stokes equation and solution generating symmetries from holography
• Anomalies, Chern-Simons Terms and Black Hole Entropy
• Anomalous transport model with axial magnetic fields
• Superfluid Kubo Formulas from Partition Function
• Constraints on Rindler Hydrodynamics
• Entropy Current and Fluid-Gravity Duality in Gauss-Bonnet theory
• Membrane paradigm and RG flows for anomalous holographic theories
• Spatially modulated instabilities of holographic gauge-gravitational anomaly
• Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality
• Entropy-current for dynamical black holes in Chern-Simons theories of gravity
• Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly
• Anomaly induced transport coefficients, from weak to strong coupling
• Holographic deconfined QGP phase diagram and entropy with an anomalous flow in a magnetic field background
• An entropy current and the second law in higher derivative theories of gravity