Trajectory of massive particles around a static black hole in f(R) gravity

Abstract

Abstract In this paper, we investigated the trajectory of the massive particle in the vicinity of a general spherical symmetric black hole. Also, in the framework of general sphericalily symmetric black hole, pseudo-Newtonian potential (PNP) and effective potentials have been investigated. As an example, static spherically symmetric black hole in f(R) gravity is considered and a brief discussion on the structure of spacetime and horizons is presented. We calculated energy and angular momentum in the framework of general relativity as well as in pseudo-Newtonian theory. A graphical comparison of angular momentum in both these frameworks has been studied.