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arxiv: 1309.4390 · v3 · pith:QEDQWQR6new · submitted 2013-09-17 · ⚛️ nucl-th · hep-ph· nucl-ex

A new family of exact and rotating solutions of fireball hydrodynamics

classification ⚛️ nucl-th hep-phnucl-ex
keywords solutionsclassequationsexactfireballhydrodynamicspresentedrotating
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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.

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