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Abstract
We restrict purely kinetic k-essence. Assuming that the equation of state is a power law of the kinetic energy, i.e. w=w0Xα, we find that α must be positive to obtain accelerated phases, constrained from the conditions for stability and causality. In this case the k-essence behaves like a phantom. We also study the evolutions of the equation of state and the speed of sound with numerical simulations. -
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