First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality

TL;DR

This paper derives the hydrodynamic behavior of a dual field theory from boosted Born-Infeld-AdS_5 black branes using gauge/gravity duality, confirming the universal shear viscosity to entropy density ratio.

Contribution

It provides the first-order hydrodynamic stress-energy tensor for Born-Infeld-AdS_5 black branes and shows the shear viscosity to entropy density ratio remains universal.

Findings

Shear viscosity to entropy density ratio is 1/4π to all orders.

First-order hydrodynamic stress-energy tensor derived for Born-Infeld-AdS_5 black branes.

Hydrodynamics studied via derivative expansion in 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.