Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the   rotating charged black hole spacetime in $f(R)$ gravity
  We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and present their solutions in terms of the Weierstrass $\wp$, $\zeta$ and $\sigma$ functions as well as the Kleinian $\sigma$ function. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and classify the possible orbit types. This spacetime is also a solution of $f(R)$ gravity with a constant curvature scalar. 
Saheb Soroushfar, Reza Saffari, Sobhan Kazempour, Saskia Grunau, Jutta   Kunz
gr-qc