New simple explicit solutions of perfect fluid hydrodynamics and phase-space evolution

TL;DR

This paper presents new exact solutions to relativistic perfect fluid hydrodynamics, including the first rotating solutions, with potential applications to understanding the evolution of hot, dense matter in heavy-ion collisions.

Contribution

It introduces a novel family of explicit rotating solutions to relativistic hydrodynamics, expanding the set of known exact solutions and exploring their relevance to heavy-ion collision dynamics.

Findings

First family of exact rotating solutions discovered.

Method links hydrodynamical equations with the collisionless Boltzmann equation.

Potential implications for modeling hot, dense partonic matter.

Abstract

New exact solutions of relativistic perfect fluid hydrodynamics are described, including the first family of exact rotating solutions. The method used to search for them is an investigation of the relativistic hydrodynamical equations and the collisionless Boltzmann equation. Possible connections to the evolution of hot and dense partonic matter in heavy-ion collisions is discussed.