Circular motion in a static and stationary charged anti-de Sitter black hole in $f(R)$ gravity

Abstract

In this work, the geodesics of a test particle in a static and stationary charged anti-de Sitter black hole in a $f(R)=R-2\alpha\sqrt{R-8\Lambda}$ gravity is investigated. Inside the outer event horizon of the static and stationary charged anti-de-sitter black hole, there exists a stable and periodic circular orbit that is not coming out of the black hole but not falling into its singularity in the background of $f(R)$ gravity.