The evolution of the power law k-essence cosmology

Abstract

We investigate the evolution of the power law k-essence field in FRWL spacetime. The autonomous dynamical system and critical points are obtained. The corresponding cosmological parameters, such as ${\Omega }_{\varphi }$ and $w_{\varphi }$, are calculated at these critical points. We find it is possible to achieve an equation of state crossing through $-1$ for k-essence field. The results we obtained indicate that the power law k-essence dark energy model can be compatible with observations.

9 pages, 4 figures, some comments are added

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Cited by in corpus (4)

• Approximation of the potential in scalar field dark energy models
• Constraints on the speed of sound in the k-essence model of dark energy
• $f(\bar{R},L(X))$-gravity in the context of dark energy with power law expansion and energy conditions
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory