Radial motion of charged particles along axis of the Kerr–Newman– (anti-)de sitter space-time

The motion of uncharged particles in the Kerr–Newman–(anti-)de Sitter space-time has been studied by using the Hamilton –Jacobi equation. We have considered both charged particle Q and non-vanishing cosmological constant Λ , focusing on the equatorial plane and space time of the axis. For the study of radial of radial motion on the axis of space time an effective potential have been developto describe the turning points