The magnetohydrodynamic stability criterion of self-gravitating streaming
fluid cylinder under the combined effect of capillary, inertia, pressure
gradient and electromagnetic forces has been derived. The results are
discussed analytically and some data are verified numerically for different
parameters of the problem. The magnetic field is stabilizing, but the
streaming is destabilizing while the self-gravitating and capillary forces
are stabilizing or destabilizing according to restrictions. The stable and
unstable domains are identified and moreover the influences of the magnetic
field and capillary forces on the self-gravitating instability of the model
have been examined. The including of the electromagnetic force together with
both the capillary and self-gravitating forces improve the instability of
the model. However, the self-gravitating instability will never be
suppressed whatever are the effects of the capillary and MHD forces
stabilizing effects.