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We calculate density profiles for self-gravitating clusters of an idealBose-Einstein gas with nonrelativistic energy-momentum relation and macroscopicmass at thermal equilibrium. Our study includes clusters with planar symmetryin 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 scaleand energy scale in use for the gaseous phase render density profiles forgaseous macrostates independent of total mass. Density profiles for mixed-phasemacrostates have a condensed core surrounded by a gaseous halo. The spatialextension of the core is negligibly small on the length scale tailored for thehalo. The mechanical stability conditions as evident in caloric curves permitmultiple macrostates to coexist. Their status regarding thermal equilibrium isexamined by a comparison of free energies. The onset of condensation takesplace at a nonzero temperature in all cases. The critical singularities and thenature of the phase transition vary with the symmetry of the cluster and thedimensionality of the space.

Self-gravitating clusters of Bose-Einstein gas with planar, cylindrical, or spherical symmetry: gaseous density profiles and onset of condensation