Seminar FO

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, 3-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. The effect of the rotation of the fireball on hadronic observables were calculated recently and the spheroidal symmetry was generalized for rotating ellipsoidal expansions.

The results are discussed in the context of a search for the critical point of QCD with particular emphasis on the recent observations of a non-monotonic behaviour of HBT radii in the PHENIX and STAR experiments at RHIC.