Tracking quintessence and k-essence in a general cosmological background
classification
🌀 gr-qc
astro-phhep-th
keywords
backgroundk-essencequintessencecosmologicalequationgeneralsolutionsstate
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We derive conditions for stable tracker solutions for both quintessence and k-essence in a general cosmological background, H^2 \propto f(\rho). We find that tracker solutions are possible only when \eta = d ln f /d ln \rho is 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 \eta and the equation of state of the dominant background component.
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