In this presentation, I introduce comprehensive theoretical models for the axisymmetric, ``nonstationary" (i.e., time-dependent) black hole magnetospheres and jets of an active galactic nucleus (AGN) that consists of a supermassive black hole surrounded by a magnetized accretion disk, based on the previous investigations by many scientists. The models are investigated for three sub-regions of the vicinity of the black hole: the relativistic black hole magnetosphere, the Newtonian black hole magnetosphere, and the Newtonian acceleration region.
As the main results of my research work, I present the explicit forms of the nonstationary ``Grad-Shafranov Equations," governing the black hole magnetospheres/jets treated within the framework of axial symmetry, derived in the relativistic, the Newtonian, and the Newtonian acceleration regions, respectively. As a result of my work, we can understand the black hole magnetospheres and jets of AGNs in much more realistic ways.