Exact analytical solutions of second order conformal hydrodynamics

Abstract

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 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.