Abstract
We present a $k$-essence model where a single scalar field is responsible for the early expansion of the Universe through the process of $k$ inflation and at appropriate subsequent stages acts both as dark matter and dark energy. The Lagrangian contains a potential for the scalar field as well as a noncanonical kinetic term, and is of the form $F(X)V(\ensuremath{\phi})$ which has been widely used as a $k$-essence Lagrangian. After the period of inflation is over the model can be approximated as purely kinetic $k$ essence, generating dark matter and dark energy at late times. We show how observational results are used to put constraints on the parameters of this model.
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