Stellar Kinematics of the Milky Way Galaxy in the Post-Newton Gravity

Abstract

In this paper the recent interaction model over post-Newtonian theory of gravity has been used to study the stellar dynamics. It implies space time fabric that built over the massive object gets perturbed or literally contracted in presence of the test body having significant mass. In usual practice of general relativity the effect of interaction is missing or negligible but taking in consideration of this additional interaction the geodesic path followed by the test body must be deviated. From the celestial dynamics we know stellar rotation in the galaxy is not in accordance to Newton gravity and it prompts us to reconcile this interactive modified field for the galactic stars. Here we are to study the galactic stellar kinematics over introducing this additional perturbation. The galactic disk including the central super massive black hole and the star rotating around are being modelled theoretically as an effective two body system. In fact application of this model in the Milky Way shows the galactocentric solar rotational speed 220 km/s and is a good agreement with the observations.