Symmetry constraints on generalizations of Bjorken flow
arXiv:1006.0006 · doi:10.1103/PhysRevD.82.085027
Abstract
I explain a generalization of Bjorken flow where the medium has finite transverse size and expands both radially and along the beam axis. If one assumes that the equations of viscous hydrodynamics can be used, with p=epsilon/3 and zero bulk viscosity, then the flow I describe can be developed into an exact solution of the relativistic Navier-Stokes equations. The local four-velocity in the flow is entirely determined by the assumption of symmetry under a subgroup of the conformal group.
26 pages, 4 figures. v2: Minor revisions, a reference added
References in corpus (8)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- A calculation of the bulk viscosity in SU(3) gluodynamics
- Entropy Current in Conformal Hydrodynamics
- Entropy production in collisions of gravitational shock waves and of heavy ions
- Resolving the HBT Puzzle in Relativistic Heavy Ion Collision
- Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
- Modeling Heavy Ion Collisions in AdS/CFT
- Femtoscopically Probing the Freeze-out Configuration in Heavy Ion Collisions
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