Exact solutions of relativistic perfect fluid hydrodynamics for a QCD equation of state

TL;DR

This paper extends exact analytic solutions of relativistic perfect fluid hydrodynamics to include arbitrary temperature-dependent equations of state, especially those derived from lattice QCD, enhancing their phenomenological relevance.

Contribution

It introduces a generalized class of solutions for relativistic hydrodynamics applicable to QCD equations of state, including lattice QCD data, which was not previously available.

Findings

Solutions applicable to temperature-dependent QCD equations of state

Hydrodynamical models with lattice QCD-based EoS

Discussion of phenomenological relevance of solutions

Abstract

We generalize a previously known class of exact analytic solutions of relativistic perfect fluid hydrodynamics for the first time to arbitrary temperature-dependent Equation of State. We investigate special cases of this class of solutions, in particular, we present hydrodynamical solutions with the Equation of State determined from lattice QCD calculations. We discuss the phenomenological relevance of these solutions as well.