Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

被引：23
|
作者：
Borshch, Maxim S. [1 ]
Zhdanov, Valery I. [1 ]
机构：
[1] Natl Taras Shevchenko Univ Kyiv, Kiev, Ukraine
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷
关键词：
relativistic hydrodynamics; exact solutions;
D O I：
10.3842/SIGMA.2007.116
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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(epsilon). For linear EOS p = kappa epsilon we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS (kappa = 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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页数：11
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