Exact analytical solutions of second-order conformal hydrodynamics
High Energy Physics - Theory
2014-03-26 v2 High Energy Physics - Phenomenology
Nuclear Theory
Fluid Dynamics
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 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.
Keywords
Cite
@article{arxiv.1401.6248,
title = {Exact analytical solutions of second-order conformal hydrodynamics},
author = {Yoshitaka Hatta and Jorge Noronha and Bo-Wen Xiao},
journal= {arXiv preprint arXiv:1401.6248},
year = {2014}
}
Comments
5 pages, 3 figures. A few typo corrected