Exact (1+1)-dimensional flows of a perfect fluid

Details Exact (1+1)-dimensional flows of a perfect fluid Exact (1+1)-dimensional flows of a perfect fluid

2010-06-08

arxiv.org/abs/1006.1603v1

Nucl.Phys.A849: 147-164,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure

Scientific paper

10.1016/j.nuclphysa.2010.10.009

We present a general solution of relativistic (1+1)-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction as a function of time, uniformly in transverse space. The Khalatnikov potential is expressed as a linear combination of two generating functions with polynomial coefficients of 2 variables. The polynomials, whose algebraic equations are solved, define an infinite-dimensional basis of solutions. The kinematics of the (1+1)-dimensional flow are reconstructed from the potential.

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