Differentially Rotating Structures and Angular Momentum Transport in the Prevalent Gravity of a Central Object*

The presence of angular momentum transport associated with an accretion process in an axisymmetric differentially rotating structure affects the equilibrium configuration that this can take and can introduce a toroidal Lorentz force with the associated poloidal current densities. All three components (vertical, radial and toroidal) of the total momentum conservation equation are considered. A sequence of ring solutions\footnote{B. Coppi and F. Rousseau\textit{ Ap. J. } \textbf{641} {(1)}, 458 (2006)} can be found by making use of the inequalities $v_{NJ}