A new generic evolution for $k$-essence dark energy with $w\approx -1$

John Kehayias, Robert J. Scherrer

We reexamine $k$-essence dark energy models with a scalar field $\varphi$ and a factorized Lagrangian, $\mathcal{L}=V(\varphi )F(X)$, with $X=\frac{1}{2}{\nabla }_{\mu }\varphi {\nabla }^{\mu }\varphi .$ A value of the…