The Dark Matter paradigm is the current leading hypothesis for reconciling discrepancies between observational phenomena and Newtonian gravity theory. While the Dark Matter idea has been around for nearly 50 years, it has not yet matured into a theory and there has been no reasonable identification of the nature of dark matter proposed as a solution to this problem. We present a different approach to the problem, focusing on the weak field approximation of Einstein's General Relativity (GR). It is well known that Newtonian gravity can be shown to be a special case of GR under certain conditions using a weak field approximation. The theory presented, dubbed Retardation Theory, adds a retarded response of the field to the weak field approximation when the limit of speed of light is employed to information transfer rate, due to the large dimensions of many tens of thousands of light years of galaxies. From this, a "corrective" force to the standard Newtonian gravity arises. The theory was able to reproduce extended galactic rotation curves successfully, reproduce the Tully-Fisher relation and a preliminary correlation between the change in mass flux, as deduced while fitting said rotation curves, and star birthrate index was observed. The proposed solution is simple and within the framework of Gravitational Waves, which were recently observed; the same terms which generate the retardation effect generate gravitational radiation.