A non-boost-invariant solution of relativistic hydrodynamics in 1+3 dimensions

TL;DR

This paper introduces a novel 1+3 dimensional relativistic hydrodynamics solution that models non-boost-invariant expansion with evolving flow regimes and discusses viscosity effects.

Contribution

It presents a new exact solution capturing both longitudinal and spherical expansion phases in relativistic hydrodynamics.

Findings

Flow expands longitudinally at early times

Flow becomes nearly spherical at late times

Viscosity effects are analyzed

Abstract

We present a new solution of relativistic hydrodynamics in 1+3 dimensions which depends on both the transverse coordinate and rapidity. At early times the flow expands dominantly longitudinally in a non-boost-invariant manner, and at late times it expands nearly spherically. These two regimes are shown to be related by symmetry. The effect of viscosity is also discussed.