The Force-free Magnetospheres Analytical Solutions Study Of Black Hole

Black hole steady state force-free magnetosphere theories play an important role in the high energy astrophysics study, such as the emission mechanism of relativistic jets in Active Galactic Nuclei, Gamma-ray bursts and ultra-luminous X-ray binaries etc.In order to know the steady state force-free magnetospheres property,it’s need to ?nd the solution of the Grad-Shafranov equation.Therefore,?nding the analytic solutions of black hole steady state force-free magnetospheres is important signi?cance for understanding these astronomical phenomena. In this paper, we ?rst give a detailed review on this topic including the histories,recent progresses and future prospects,second,we give a discuss our works in near-NHEK force-free magnetospheres and other attempts.We ?rst present the black hole electrodynamics and black hole force-free magnetosphere.We introduce the electromagnetic extraction of energy from Kerr black hole,the Blandford-Znajek mechanism and the black hole force-free magnetosphere in the aspect of application Active Galactic Nuclei relativistic jets and accretion disk. Next, we outline progress in solving the black hole steady state force-free magnetosphere equations in the part decades,including the solutions of Schwarzschild black hole,the perturbation solutions of low speed rotating black hole and the asymptotic solutions, we will give more discuss the asymptotic solutions.These solutions are important to study the black hole magnetosphere. We discuss the enlightment of these work on the analytic solution search e?orts.Second,we will introduce the works in near-NHEK force-free magnetospheres and other attempts in study analytic solutions. In the near-NHEK space time,we develop the force-free magnetosphere theory and study the analytic solutions on axial. Finally, we study the solutions when the maximum energy density and other attempts appear.