The correspondence between a scalar field and an effective perfect fluid

Abstract

It is widely acknowledged that, for formal purposes, a minimally coupled scalar field is equivalent to an effective perfect fluid with equation of state determined by the scalar potential. This correspondence is not complete because the Lagrangian densities P and -rho, which are equivalent for a perfect fluid, are not equivalent for a minimally coupled scalar field. The exchange between these two Lagrangian densities amounts to exchanging a canonical scalar field with a phantom scalar field.

5 pages, no figures, to appear in Phys. Rev. D

References in corpus (10)

• Extra force in $f(R)$ modified theories of gravity
• Nonminimal coupling of perfect fluids to curvature
• A viability criterion for modified gravity with an extra force
• Do f(R) theories matter?
• On the non-minimal gravitational coupling to matter
• The viability of theories with matter coupled to the Ricci scalar
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Motion of test bodies in theories with nonminimal coupling
• Action approach to cosmological perturbations: the 2nd order metric in matter dominance
• A note on perfect scalar fields

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