Accretion disks around a static black hole in $f(R)$ gravity

Abstract

We provide a description of a thin accretion disc for a static spherically symmetric black holes in $f(R)$ gravity. In this regard, we first study the horizons of black holes in $f(R)$ gravity. The equation of motion and effective potential are also computed which eventually leads to possible existence of innermost circular orbits of accretion disc. We derive the specific energy, specific angular momentum and angular velocity of the particles moving in circular orbits also. A comparative study of various parameters are also presented. The locations of the event horizon, cosmological horizon, innermost and outermost stable circular orbits are also pointed out.