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arxiv: 1401.6248 · v2 · pith:OZIDMHUBnew · submitted 2014-01-24 · ✦ hep-th · hep-ph· nucl-th· physics.flu-dyn

Exact analytical solutions of second-order conformal hydrodynamics

classification ✦ hep-th hep-phnucl-thphysics.flu-dyn
keywords second-ordersolutionsconformalexacthydrodynamicsanalyticalrelativisticaccount
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We present some exact solutions of relativistic second-order hydrodynamic equations in theories with conformal symmetry. Starting from a spherically expanding solution in ideal hydrodynamics, we take into account general conformal second-order corrections, and construct, for the first time, fully analytical axisymmetric exact solutions including the case with nonzero vorticity. These solutions are time-reversible despite having a nonvanishing shear stress tensor and provide a useful quantitative measure of the second-order effects in relativistic hydrodynamics.

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