An integrated spindle shaft (1) and the like and self-compensating hydrostatic bearing assembly, obviating the need for external bearing sleeve constructions, in which a cylinder bearing bore is so provided having circumferential grooves (4) connected to pressure supply (11, 12) and drain systems, and in which collection space pressure supply and fluid drain grooves (10, 13) are provided that cooperate with circumferential collector grooves (4) and pockets, such that when fluid flows from the pressure groove areas (11, 12) across the shaft (1) into the collector grooves (4), in proportion to the radial clearance between the shaft (1) surface and the bore, in conjunction to the pocket opposite to the collector groove (4), to provide a restoring force in proportion to the radial displacement of the shaft (1).