Note on scalars, perfect fluids, constrained field theories, and all that
arXiv:1309.4756 · doi:10.1016/j.physletb.2013.10.030
Abstract
The relation of a scalar field with a perfect fluid has generated some debate along the last few years. In this paper we argue that shift-invariant scalar fields can describe accurately the potential flow of an isentropic perfect fluid, but, in general, the identification is possible only for a finite period of time. After that period in the evolution the dynamics of the scalar field and the perfect fluid branch off. The Lagrangian density for the velocity-potential can be read directly from the expression relating the pressure with the Taub charge and the entropy per particle in the fluid, whereas the other quantities of interest can be obtained from the thermodynamic relations.
5 pages, 1 figure. Accepted for publication in Phys. Lett. B
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- Equivalence between Horndeski and beyond Horndeski theories and imperfect fluids
- Global adiabaticity and non-Gaussianity consistency condition
- The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories
- No-go theorem for static scalar field dark matter halos with no Noether charges
- Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
- Cosmological scalar field perturbations can grow
- Horndeski dark matter and beyond
- Cosmological fluids in the equivalence between Rastall and Einstein gravity
- Minimally coupled scalar fields as imperfect fluids
- Scalar field vs hydrodynamic models in the homogeneous isotropic cosmology