Perturbative accelerating solutions of relativistic hydrodynamics

TL;DR

This paper introduces a perturbative, accelerating solution to relativistic hydrodynamics, enhancing understanding of quark-gluon plasma evolution in heavy ion collisions through analytic models.

Contribution

It presents a novel perturbative, accelerating solution to relativistic hydrodynamics based on known Hubble-expansion solutions, providing new analytic tools.

Findings

Describes properties of the perturbative solutions.

Investigates specific solutions in detail.

Connects initial and final states in heavy ion collisions.

Abstract

In ultra-relativistic collisions of heavy ions, the strongly interacting Quark Gluon Plasma (sQGP) is created. The fluid nature of the sQGP was one of the important discoveries of high energy heavy ion physics in the last decades. Henceforth the explosion of this matter may be described by hydrodynamical models. Besides numerical simulations, it is important to study the analytic solutions of the equations of hydrodynamics, as these enable us to understand the connection of the final and initial states better. In this paper we present a perturbative, accelerating solution of relativistic hydrodynamics, on top of a known class of solutions describing Hubble-expansion. We describe the properties of this class of perturbative solutions, and investigate a few selected solutions in detail.