Abstract: A first half of a split inner race for a bearing includes axial grooves in its inner circumferential surface which carry oil across an axially extending lip to an annular trough disposed radially outwardly thereof in the other half of the bearing race, the lip overhanging the trough. The trough feeds axial passageways which carry the oil to the far side of the said other race half, such as for cooling a seal plate adjacent to the bearing. The first race half also includes second axial grooves along its inner circumferential surface which are intersected by radial slots in the inner race at the interface between the race halves. Oil flowing in these second axial grooves does not reach the annular trough in the second race half, but instead is flung radially outwardly to the rolling elements via the radial slots.