A clutch cylinder arrangement for a double-plate clutch of a motor vehicle, comprising a first clutch cylinderand a second clutch cylinder, wherein the first clutch cylinder comprises a first release bearing arrangement and the second clutch cylinder comprises a second release bearing arrangement, the first release bearing arrangement and the second release bearing arrangement each comprising:
- a release bearing configured for axial force transmission of an actuating force introduced by a piston to a transmission device, the piston being axially movable along a shaft of the motor vehicle,
- wherein the release bearing comprises a first bearing plate, a second bearing plate and a plurality of rolling elements, wherein the rolling elements are arranged so as to roll between the first bearing plate and the second bearing plate, and
- a self-centering device configured for radial self-centering of the release bearing relative to the shaft and relative to the piston that is axially movable along the shaft.