  The consistent theoretical description of gravitational Hall-MHD (G-Hall-MHD)
equilibria is of fundamental importance for understanding the phenomenology of
accretion disks (AD) around compact objects (black holes, neutron stars, etc.).
The very existence of these equilibria is actually suggested by observations,
which show evidence of quiescent, and essentially non-relativistic, AD plasmas
close to compact stars, thus indicating that accretion disks may be
characterized by slowly varying EM and fluid fields. These (EM) fields, in
particular the electric field, may locally be extremely intense, so that AD
plasmas are likely to be locally non-neutral and therefore characterized by the
presence of Hall currents. This suggests therefore that such equilibria should
be described in the framework of the Hall-MHD theory. Extending previous
approaches, holding for non-rotating plasmas or based on specialized
single-species model equilibria which ignore the effect of space-time
curvature, the purpose of this work is the formulation of a generalized
Grad-Shafranov (GGS) equation suitable for the investigation of G-Hall-MHD
equilibria in AD's where non-relativistic plasmas are present. For this purpose
the equilibria are assumed to be generated by a strong axisymmetric stellar
magnetic field and by the gravitating plasma characterizing the AD.
