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

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.

14 pages, 1 figure

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• Family of New Exact Solutions for Longitudinally Expanding Ideal Fluids
• Longitudinal Scaling of Elliptic Flow in Landau Hydrodynamics
• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$
• Self-Gravitating Bjorken Flow