Exact solutions of the equations of relativistic hydrodynamics
نویسنده
چکیده
We use a connection between relativistic hydrodynamics and scalar field theory to generate analytic solutions describing non-stationary non-homogeneous flows of the relativistic perfect fluid with barotropic equation of state (EOS). For linear EOS p = κε we obtain selfsimilar solutions in case of plane, cylindrical and spherical symmetries. Besides, in case of extremely stiff EOS (p = ε) we obtain ”monopole+dipole” and ”monopole+quadrupole” axially symmetric solutions. We also found solutions for two simple cases of a nonlinear EOS.
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