A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field

Details A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field

2010-02-06

arxiv.org/abs/1002.1376v2

Phys.Rev.D81:107301,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

4 pages, 1 figure; v2: References and footnotes 3 and 4 added. Replaced to match published version

Scientific paper

10.1103/PhysRevD.81.107301

In this short note, we obtain the necessary and sufficient condition for a class of non-canonical single scalar field models to be exactly equivalent to barotropic perfect fluids, under the assumption of an irrotational fluid flow. An immediate consequence of this result is that the non-adiabatic pressure perturbation in this class of scalar field systems vanishes exactly at all orders in perturbation theory and on all scales. The Lagrangian for this general class of scalar field models depends on both the kinetic term and the value of the field. However, after a field redefinition, it can be effectively cast in the form of a purely kinetic K-essence model.

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