A new family of exact and rotating solutions of fireball hydrodynamics

Abstract

A new class of analytic, exact, rotating, self-similar and surprisingly simple solutions of non-relativistic hydrodynamics are presented for a three-dimensionally expanding, spheroidally symmetric fireball. These results generalize earlier, non-rotating solutions for ellipsoidally symmetric fireballs with directional, three-dimensional Hubble flows. The solutions are presented for a general class of equations of state that includes the lattice QCD equations of state and may feature inhomogeneous temperature and corresponding density profiles.

Comments: Dedicated to T. Kodama on the occasion of his 70th birthday. 15 pages, no figures. Accepted for publication at Phys. Rev. C. Minor rewritings from previous version