Flat rotation curves using scalar-tensor theories

We computed flat rotation curves from scalar-tensor theories in their weak field limit. Our model, by construction, fits a flat rotation profile for velocities of stars. As a result, the form of the scalar field potential and DM distribution in a galaxy are determined. By taking into account the constraints for the fundamental parameters of the theory (lambda, alpha), it is possible to obtain analytical results for the density profiles. For positive and negative values of alpha, the DM matter profile is as cuspy as NFW's.