Geodesics in the Kerr-Newman anti de Sitter Spacetimes

In this work, the geodesic equations of motion of a test particle in the Kerr-Newman (KN) anti de Sitter spacetimes are presented in the light of the Hamiltonian-Jacobi formalism. We have examined, in the frame of KN anti de Sitter spacetimes, the spherical and circular orbits that the test particle may describe in a rotating charged black hole, discarding the gravitational and electromagnetic radiation and found that bounded spherical and circular stable orbits can exist in the regions of 0 < r < r-in which r-is the inner event horizon of the black hole.