New simple explicit solutions of perfect fluid hydrodynamics and phase-space evolution

Abstract

New exact solutions of relativistic perfect fluid hydrodynamics are described, including the first family of exact rotating solutions. The method used to search for them is an investigation of the relativistic hydrodynamical equations and the collisionless Boltzmann equation. Possible connections to the evolution of hot and dense partonic matter in heavy-ion collisions is discussed.

7 pages, 2 figures, two column format. First version substantially rewritten, typos corrected. Results unchanged

References in corpus (8)

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• A New Family of Simple Solutions of Perfect Fluid Hydrodynamics
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• Indication of quark deconfinement and evidence for a Hubble flow in 130 and 200 GeV Au+Au collisions
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Cited by in corpus (20)

• Vorticity in Heavy-Ion Collisions
• Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity
• Exact analytical solutions of second-order conformal hydrodynamics
• A systematic study of exact solutions in second-order conformal hydrodynamics
• Rotation in an exact hydro model
• A new family of exact and rotating solutions of fireball hydrodynamics
• New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs
• Perfect fluidity of a dissipative system: Analytical solution for the Boltzmann equation in ${\mathrm{AdS}}_2\otimes {\mathrm{S}}_2$
• Exact (1+1)-dimensional flows of a perfect fluid
• A twisted emission geometry in non-central Pb+Pb collisions measurable via azimuthally sensitive HBT
• Lifetime estimations from RHIC Au+Au data
• Pseudo-rapidity distribution from a perturbative solution of viscous hydrodynamics for heavy ion collisions at RHIC and LHC
• Observables and initial conditions for rotating and expanding fireballs with spheroidal symmetry
• Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
• Family of New Exact Solutions for Longitudinally Expanding Ideal Fluids
• Simple solutions of fireball hydrodynamics for rotating and expanding triaxial ellipsoids and final state observables
• Analytic approaches to relativistic hydrodynamics
• Scaling properties of spectra in new exact solutions of rotating, multi-component fireball hydrodynamics
• Polarized baryon production in heavy ion collisions: an analytic hydrodynamical study
• Analytic model studies of polarized baryon production