Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation

Gabriel Denicol, Ulrich Heinz, Mauricio Martinez, Jorge Noronha, Michael Strickland

Research output: Contribution to journalArticlepeer-review

Abstract

We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio. This new solution is constructed by considering the conformal map between Minkowski space and the direct product of three-dimensional de Sitter space with a line. The resulting solution respects SO(3)q SO(1,1) Z2 symmetry. We compare the exact kinetic solution with exact solutions of the corresponding macroscopic equations that were obtained from the kinetic theory in ideal and second-order viscous hydrodynamic approximations. The macroscopic solutions are obtained in de Sitter space and are subject to the same symmetries used to obtain the exact kinetic solution.

Original languageEnglish (US)
Article number125026
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume90
Issue number12
DOIs
StatePublished - Dec 24 2014
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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