Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
نویسنده
چکیده
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) p = p(ε). For linear EOS p = κε we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS (κ = 1) we obtain “monopole + dipole” and “monopole + quadrupole” axially symmetric solutions. We also found some nonlinear EOSs that admit analytic solutions.
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