First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality

Abstract

By performing a derivative expansion on a class of boosted Born-Infeld-AdS_5 black branes, we study the hydrodynamics of the dual field theory - in the spirit of AdS/CFT correspondence. We determine the fluid dynamical stress-energy tensor to first order, and find that the ratio of the shear viscosity to entropy density conforms to the universal value of $1/4\pi$ to all orders of the inverse of the Born-Infeld parameter.

14 pages, JHEP3, minor revisions

References in corpus (9)

• Nonlinear Fluid Dynamics from Gravity
• Viscosity Bound Violation in Higher Derivative Gravity
• Fluid dynamics of R-charged black holes
• Quantum corrections to eta/s
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand canonical ensemble
• Shear Viscosity from AdS Born-Infeld Black Holes
• The ratio of shear viscosity to entropy density in generalized theories of gravity
• Hydrodynamics with conserved current from the gravity dual

Cited by in corpus (17)

• 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
• Holographic Charged Fluid with Anomalous Current at Finite Cutoff Surface in Einstein-Maxwell Gravity
• Collective diffusion and quantum chaos in holography
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• Transport Coefficients from Extremal Gauss-Bonnet Black Holes
• Holographic thermalization with a chemical potential from Born-Infeld electrodynamics
• Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity
• A Note on Charged Black Holes in AdS space and the Dual Gauge Theories
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Viscosity to entropy density ratio for non-extremal Gauss-Bonnet black holes coupled to Born-Infeld electrodynamics
• Towards holographic duals for anomalous supercurrents
• Hall viscosity to entropy ratio in higher derivative theories
• 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