Perfect fluids from high power sigma-models

Abstract

Certain solutions of a sextic sigma-model Lagrangian reminiscent of Skyrme model correspond to perfect fluids with stiff matter equation of state. We analyse from a differential geometric perspective this correspondence extended to general barotropic fluids.

17 pages. Version published in IJGMMP 8 (2011). Added Example 3.4 and 1 reference

References in corpus (9)

• Symmetry constraints on generalizations of Bjorken flow
• A Skyrme-type proposal for baryonic matter
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
• A note on perfect scalar fields
• Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model
• On f-harmonic morphisms between Riemannian manifolds
• QCD EoS, initial conditions and final state from relativistic hydrodynamics in heavy-ion collisions

Cited by in corpus (8)

• A BPS Skyrme model and baryons at large Nc
• BPS Skyrmions as neutron stars
• Near BPS Skyrmions and Restricted Harmonic Maps
• Shear-free perfect fluids with linear equation of state
• Disformal invariance of continuous media with linear equation of state
• Steady Euler flows and the Faddeev-Skyrme model with mass term
• Inclusion of a perfect fluid term into the Einstein-Hilbert action
• A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution