Archive | 2021
Modified gravity over the linearized metric perturbation for two body dynamics
Abstract
In this paper Modified gravity is studied over the weak field linearized\nmetric perturbation in post-Minkowskian theory. This is a different\naspect for studying the two body dynamics or binary system. Here despite\nof usual self force originated from the radiative backscattering of\ngravitational waves we are considering new paradigm of perturbation that\nis multiplicative approach. The new perturbed metric is determined over\nthe multiplication of isolated background metric of curved space-time\nfor two different massive sources in post-Newtonian theory. To verify\nthe model and the theoretical result the binary system of Milky Way\ncentral super massive black hole to Sun is considered. The computation\nshows remarkable result without MOND for galactic flat rotation curve\nand solar rotational speed 249km/sec, obviously very good agreement with\nrecent observed data.