Time-like geodesic structure in massive gravity

In the present paper we analyze the geodesic structure of black hole spacetime in massive gravity with the scalar charge Q representing the modification to Einstein’s general relativity. By solving the geodesic equation and analyzing the behavior of effective potential, we investigate the time-like geodesic types of the test particle around a black hole in massive gravity. At the same time, all kinds of orbits, which are allowed according to the energy levels of the effective potential, are numerically simulated in detail.