Dark Energy Models in the w - w' Plane

Details Dark Energy Models in the w - w' Plane Dark Energy Models in the w - w' Plane

2005-09-29

arxiv.org/abs/astro-ph/0509890v2

Phys.Rev.D73:043502,2006

Astronomy and Astrophysics

Astrophysics

5 pages, 3 figures, references and discussion added, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.73.043502

We examine the behavior of dark energy models in the plane defined by w (the equation of state parameter for the dark energy) and w' (the derivative of w with respect to the logarithm of the scale factor). For non-phantom barotropic fluids with positive squared sound speed, we find that w' < 3w(w+1), the opposite of the bound on quintessence models previously derived by Caldwell and Linder. Thus, these barotropic models and quintessence models for the dark energy occupy disjoint regions in the w - w' plane. We also derive two new bounds for quintessence models in the w - w' plane: the first is a general bound for any scalar field with a monotonic potential, while the second improves on the Caldwell-Linder bound for tracker quintessence models. Observationally distinguishing barotropic models from quintessence models requires \sigma(w') < 1+w.

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