Fluid dynamics of R-charged black holes

TL;DR

This paper constructs and analyzes slowly varying R-charged black hole solutions in AdS_5, deriving dual hydrodynamic transport coefficients including a novel axial current coefficient.

Contribution

It introduces a new class of charged black hole solutions with space-time dependent parameters and computes associated second-order transport coefficients in the dual theory.

Findings

Derived boundary transport coefficients up to second order.

Identified a first-order axial current transport coefficient.

Established a link between black hole parameters and hydrodynamic variables.

Abstract

We construct electrically charged AdS_5 black hole solutions whose charge, mass and boost-parameters vary slowly with the space-time coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and R-charge current up to second order. In particular, we find a first order transport coefficient associated with the axial component of the current.