X iv : h ep - p h / 05 08 22 0 v 1 2 2 A ug 2 00 5 Ultra - Relativistic Expansion of Ideal Fluid with Linear Equation of State
نویسندگان
چکیده
We study solutions of the relativistic hydrodynamical equations, which describe spherical or cylindrical expansion of ideal fluid. We derived approximate solutions involving two arbitrary functions, which describe asymptotic behavior of expanding fireballs in ultra-relativistic limit. In case of a linear equation of state p(ε) = κε − c 1 , (0 < κ < 1) we show that the solution may be represented in form of an asymptotic series in negative powers of radial variable; recurrence relations for the coefficients are obtained. This representation is effective, if κ > 1/(2J + 1) (J = 2 for spherical expansion and J = 1 for the cylindrical one); in this case the approximate solutions have a wave-like behavior.
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