Self-consistent stationary equilibrium states of a quasineutral, self-gravi
tating dusty plasma have been investigated by avoiding the usual "Jeans swi
ndle" assumption. The analysis has been carried out for the Cartesian one-d
imensional, cylindrical, as well as spherical symmetric cases. It is shown
that allowed equilibria permit steady but inhomogeneous dust flows governed
by a nonlinear differential equation, which has a singularity at the dust-
acoustic speed. The qualitative nature of the admissible solutions of the l
atter equation have been discussed. The corresponding results for the case
of a self-gravitating neutral fluid have also been pointed out. (C) 2001 Am
erican Institute of Physics.