Relativistic and Newtonian fluid tori with electric charge

We discuss the effects of electric charging on the equilibrium configurations of magnetized, rotating fluid tori around black holes of different mass. In the context of gaseous/dusty tori in galactic nuclei, the central black hole dominates the gravitational field and it remains electrically neutral, while the surrounding material acquires some electric charge and exhibits non-negligible self-gravitational effect on the torus structure. The structure of the torus is influenced by the balance between the gravitational and electromagnetic forces. A cusp may develop even in Newtonian tori due to the charge distribution.
Comment: 5 pages, 1 figure; to appear in Proceedings of the 15th Marcel Grossman Meeting on General Relativity - the session AC3 on "Accretion Discs and Jets" by Eva Hackmann & Audrey Trova (Rome, 1-7 July 2018), edited by Elia Battistelli, Robert T. Jantzen, and Remo Ruffini, in preparation