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We examine k-essence models in which the Lagrangian p is a function only of the derivatives of a scalar field and does not depend explicitly on. The evolution of for an arbitrary functional form for p can be given in terms of an exact analytic solution. For quite general conditions on the functional form of p, such models can evolve to a state characterized by a density scaling with the scale factor a as =₀+₁ (a/a₀) ^-3, but with a sound speed cₒ^21 at all times. Such models can serve as a unified model for dark matter and dark energy, while avoiding the problems of the generalized Chaplygin gas models, which are due to a non-negligible sound speed in these models. A dark-energy component with cₒ1 serves to suppress cosmic microwave background fluctuations on large-angular scales.
Robert J. Scherrer (Wed,) studied this question.
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