Critical Point from Shock Waves Solution in Relativistic Anisotropic Hydrodynamics

TL;DR

This paper investigates shock wave solutions in anisotropic relativistic hydrodynamics, identifying a critical anisotropy value that limits the validity of shock descriptions and offers insights into system isotropization mechanisms.

Contribution

It introduces the concept of a critical anisotropy parameter in relativistic hydrodynamics and explores its implications for shock wave solutions and system isotropization.

Findings

Existence of a critical anisotropy value for shock solutions

Upper limit of anisotropy for valid shock wave description

Shock waves contribute to system isotropization

Abstract

Solutions of shock waves in anisotropic relativistic hydrodynamics in the absence of refraction of the flow passing through the shock wave are considered. The existence of a critical value of the anisotropy parameter is shown. This value is the upper limit below which an adequate description of shock waves is possible. Shock wave solutions also provide a mechanism for system isotropization.