Physical properties of a class of static, spherically symmetric collapsed objects, capable of giving high internal gravitational redshifts, have been studied in order to investigate their plausibility as models for high redshift quasi-stellar objects (QSOs). Calculations have been made for these models to investigate their binding energy and their stability against small, radial oscillations. Following the work of Fackerell, calculations of the velocity distribution function are made to study the extent to which such models can be looked upon as star clusters, as originally envisaged by Hoyle & Fowler. Thermal and hydrodynamic time scales of such models are calculated. Assuming the star cluster scenario the geometrical obscuration of the light emitted by the central region is estimated. © 1976 Royal Astronomical Society. Provided by the NASA Astrophysics Data System.