Holographic dual of a boost-invariant plasma with chemical potential

TL;DR

This paper develops a gravity dual model for a boost-invariant plasma with chemical potential, capturing its dynamics through a time-dependent AdS black hole solution that aligns with known plasma properties.

Contribution

It introduces a novel gravity dual for a plasma with chemical potential, including both first-order and zeroth-order solutions in different coordinate systems.

Findings

Reproduces energy and charge densities accurately.

Models plasma viscosity consistent with previous results.

Describes a time-dependent AdS Reissner-Nordström black hole.

Abstract

We construct a gravity dual of a boost-invariant flow of an N=4 SU(N) supersymmetric Yang-Mills gauge theory plasma with chemical potential. We present both a first-order corrected late-time solution in Eddington-Finkelstein coordinates and a zeroth-order solution in parametric form in Fefferman-Graham coordinates. The resulting background takes the form of a time-dependent AdS Reissner-Nordstroem-type black hole whose horizons move into the bulk of the AdS space. The solution correctly reproduces the energy and charge density as well as the viscosity of the plasma previously computed in the literature.