Exact scaling solutions and fixed points for general scalar field

Details Exact scaling solutions and fixed points for general scalar field Exact scaling solutions and fixed points for general scalar field

2006-03-13

arxiv.org/abs/gr-qc/0603050v2

Phys.Lett.B636:286-292,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figure,v2: update references,accepted for publication in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2006.03.057

We show that the most general dark energy model that possesses a scaling solution $\rho_\phi\propto a^n$ is the k-essence model, which includes both of the quintessence and tachyon models. The exact scaling solutions are then derived. The potential that gives the tracking solution in which dark energy exactly tracks the background matter field is the inverse squared potential. The quintessence field with exponential potential can be obtained from the k-essence field with the inverse squared potential. We also find the fixed points and study their main properties, whereby the scalar field dominant fixed point is identified.

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