Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
Abstract
We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) . For linear EOS we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS () we obtain ''monopole + dipole'' and ''monopole + quadrupole'' axially symmetric solutions. We also found some nonlinear EOSs that admit analytic solutions.
Keywords
Cite
@article{arxiv.0709.1053,
title = {Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows},
author = {Maxim S. Borshch and Valery I. Zhdanov},
journal= {arXiv preprint arXiv:0709.1053},
year = {2008}
}
Comments
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/