Galaxy rotation curves without non-baryonic dark matter and modifications to gravity: effect of the Ampere force

Using an example of the galaxy, an attempt is made to explain the flat rotational curves of galaxies by means of the Ampere force. This is the first attempt of fitting the rotational curve without both non-baryonic dark matter and modifications to gravity. Using acceptable models for the galactic magnetic field and plausible physical parameters, we find that the flat rotational curves can be obtained based purely on the observed baryonic (visible) matter distribution and the ampere force term in the static MHD equation of motion. We also study effects of strength of the magnetic field, its pitch angle and length scale on the rotational curves.