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arXiv · 1006.1603

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

Robi Peschanski·Emmanuel N. Saridakis
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Abstract

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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Robi Peschanski, Emmanuel N. Saridakis. 2010-06-08. Exact (1+1)-dimensional flows of a perfect fluid. https://doi.org/10.1016/j.nuclphysa.2010.10.009

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