Geodesics of BTZ Black Hole and Black Holes in Minimal Massive Gravity

In this thesis, we study to derive the equation of motion for the geodesics of the 3 dimensional (3D) charged BTZ black hole and also geodesics of the black holes in the minimal massive gravity (MMG) theory at its merger point. The motions of the massless and massive particles are going to be study by using the Lagrangian equation. Then we are going to focus on null and time-like geodesics solutions. After finding the Euler-Lagrange equations, we are going to investigate the radial motions of the geodesics. For this purpose, we are going to study to find the exact analytical solutions of the geodesic equations. At the end, we perform some numerical simulations to plot graphs for displaying the geodesics.