An Old Universe in K-Essence Cosmology
2011
Models in which the Lagrangian contains only a kinetic factor and does not depend explicitly
on the field itself in k-essence cosmology are considered. In the case of a constant potential, we
obtain an exact analytic solution of k-essence, ??=−(3?−2)/3?, under a simple hypothesis, ?=?0(?/?0)?, but without any assumption about the form of ?(?). In purely kinetic k-essence
model, the acceleration can only be induced after the matter-dominated epoch; the Universe is
about 33.5
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