On the gravity dual of strongly coupled charged plasma

TL;DR

This paper constructs and analyzes gravity duals of strongly coupled charged plasmas in weakly curved backgrounds, revealing the structure and causal properties of the dual geometries within the fluid-gravity framework.

Contribution

It develops second-order gradient solutions for Einstein-Maxwell equations with AdS boundary conditions, extending the fluid-gravity correspondence to charged fluids in curved backgrounds.

Findings

Black brane singularity is hidden behind an event horizon.

Bulk geometry accurately encodes 1+3D hydrodynamics with conserved current.

Causal structure of the dual spacetime is explicitly determined.

Abstract

Locally asymptotically AdS solutions of Einstein equations coupled with a vector field with a weakly curved boundary metric are found within the fluid-gravity gradient expansion up to second order in gradients. This geometry is dual to 1+3 dimensional hydrodynamics with a conserved current in a weakly curved background. The causal structure of the bulk geometry is determined and it is shown that the black brane singularity is shielded by an event horizon.