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A New Family of Simple Solutions of Perfect Fluid Hydrodynamics
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A new class of accelerating, exact and explicit solutions of relativistic hydrodynamics is found - more than 50 years after the previous similar result, the Landau-Khalatnikov solution. Surprisingly, the new solutions have a simple form, that generalizes the renowned, but accelerationless, Hwa-Bjorken solution. These new solutions take into account the work done by the fluid elements on each other, and work not only in one temporal and one spatial dimensions, but also in arbitrary number of spatial dimensions. They are applied here for an advanced estimation of initial energy density and life-time of the reaction in ultra-relativistic heavy ion collisions.
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Cited by 2 Pith papers
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A simple family of solutions of relativistic viscous hydrodynamics for fireballs with Hubble flow and ellipsoidal symmetry
A new family of exact analytic viscous hydrodynamic solutions is derived for Hubble-flow fireballs, in which shear viscosity cancels and only bulk viscosity affects the temperature evolution.
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Models chemical non-equilibrium in finite-density QGP under conformal Gubser flow and its impact on hard thermal photon production, finding delayed equilibration with quarks lagging gluons, suppressed total yield but ...
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