A Holographic Dual of Bjorken Flow

TL;DR

This paper develops a holographic model for the dynamics of a strongly coupled plasma undergoing Bjorken flow, using a late-time expansion in a dual gravity setup to determine transport coefficients and ensure regularity.

Contribution

It introduces a consistent holographic dual for Bjorken flow in N=4 SYM, detailing the geometry construction and regularity conditions at all orders.

Findings

Transport coefficients are fixed by geometry regularity.

The dual geometry contains an apparent and event horizon.

The model provides a well-defined example of time-dependent AdS/CFT.

Abstract

We propose a consistent setup for a holographic dual of Bjorken flow of strongly coupled large-Nc N=4 SYM-theory plasma. We employ Eddington-Finkelstein type coordinates for the dual geometry, and we propose a late-time expansion there. We construct the dual geometry order by order, and we show that the transport coefficients are determined by the regularity of the geometry. We also show that the dual geometry has an apparent horizon hence an event horizon, which covers the singularity at the origin. We prove that the dual geometry is regular at all orders under an appropriate choice of the transport coefficients. Our model is a concrete well-defined example of time-dependent AdS/CFT.