From static to evolving geometries -- R-charged hydrodynamics from supergravity

TL;DR

This paper demonstrates how to derive evolving geometries in supergravity from static solutions, specifically in the context of R-charged hydrodynamics, and analyzes plasma equilibration processes.

Contribution

It introduces a straightforward method to obtain dynamic geometries from static solutions in supergravity, applied to R-charged hydrodynamics.

Findings

Evolving boost-invariant geometries can be derived from static solutions.

Turning on gauge fields affects thermodynamics and plasma behavior.

Electric and magnetic modes equilibrate before reaching asymptotic times.

Abstract

We show that one can obtain asymptotic evolving boost-invariant geometries in a simple manner from the corresponding static solutions. We exhibit the procedure in the case of a supergravity dual of R-charged hydrodynamics by turning on a supergravity gauge field and analyze the relevant thermodynamics. Finally we consider turning on the dilaton and show that electric and magnetic modes in the plasma equilibrate before reaching asymptotic proper times.