Unified model of k-inflation, dark matter, and dark energy

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(φ) 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.