  A model for a noncommutative scalar field coupled to gravity is proposed via
an extension of the Moyal product. It is shown that there are solutions
compatible with homogeneity and isotropy to first non-trivial order in the
perturbation of the star-product, with the gravity sector described by a flat
Robertson-Walker metric. We show that in the slow-roll regime of a typical
chaotic inflationary scenario, noncommutativity has negligible impact.
