Tracking quintessence and k-essence in a general cosmological background

Abstract

We derive conditions for stable tracker solutions for both quintessence and k-essence in a general cosmological background, H^2 \propto f(ρ). We find that tracker solutions are possible only when η= d ln f /d ln ρis constant, aside from a few special cases, which are enumerated. Expressions for the quintessence or k-essence equation of state are derived as a function of ηand the equation of state of the dominant background component.

6 pages, no figures

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