  We calculate density profiles for self-gravitating clusters of an ideal
Bose-Einstein gas with nonrelativistic energy-momentum relation and macroscopic
mass at thermal equilibrium. Our study includes clusters with planar symmetry
in dimensions $\mathcal{D}=1,2,3$, clusters with cylindrical symmetry in
$\mathcal{D}=2,3$, and clusters with spherical symmetry in $\mathcal{D}=3$.
Wall confinement is imposed where needed to prevent escape. The length scale
and energy scale in use for the gaseous phase render density profiles for
gaseous macrostates independent of total mass. Density profiles for mixed-phase
macrostates have a condensed core surrounded by a gaseous halo. The spatial
extension of the core is negligibly small on the length scale tailored for the
halo. The mechanical stability conditions as evident in caloric curves permit
multiple macrostates to coexist. Their status regarding thermal equilibrium is
examined by a comparison of free energies. The onset of condensation takes
place at a nonzero temperature in all cases. The critical singularities and the
nature of the phase transition vary with the symmetry of the cluster and the
dimensionality of the space.
