Kinetically Driven Quintessence

Kinetically Driven Quintessence

November 12, 1999 | Takeshi Chiba*, Takahiro Okabe†, and Masahide Yamaguchi‡
This paper presents a model of quintessence and phantom fields driven solely by non-canonical kinetic terms, without the need for potential terms. The quintessence field behaves like a time-varying energy component with negative pressure, while the phantom field has an equation of state with $ w = p/\rho < -1 $. The model is a kinetic counterpart of the Ratra-Peebles quintessence model and shows that the quintessential solution is a late-time attractor. The phase plane structure is analyzed, revealing that the quintessential solution is stable and converges to a common evolutionary track for a wide range of initial conditions. The phantom field model is also presented, with a scaling solution that is a late-time attractor. The paper discusses the stability of these solutions, the conditions for the weak energy condition, and the possibility of reconstructing the Lagrangian from observational data. It also notes that the violation of the weak energy condition is necessary for constructing wormholes. The paper concludes that the model provides a viable alternative to the cosmological constant and addresses the fine-tuning problem through the attractor solution.This paper presents a model of quintessence and phantom fields driven solely by non-canonical kinetic terms, without the need for potential terms. The quintessence field behaves like a time-varying energy component with negative pressure, while the phantom field has an equation of state with $ w = p/\rho < -1 $. The model is a kinetic counterpart of the Ratra-Peebles quintessence model and shows that the quintessential solution is a late-time attractor. The phase plane structure is analyzed, revealing that the quintessential solution is stable and converges to a common evolutionary track for a wide range of initial conditions. The phantom field model is also presented, with a scaling solution that is a late-time attractor. The paper discusses the stability of these solutions, the conditions for the weak energy condition, and the possibility of reconstructing the Lagrangian from observational data. It also notes that the violation of the weak energy condition is necessary for constructing wormholes. The paper concludes that the model provides a viable alternative to the cosmological constant and addresses the fine-tuning problem through the attractor solution.
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