A wheel holder for fastening to a wheel, in particular to a wheel of a motor vehicle, the wheel holder comprising: at least two arms (22, 23, 24) extending outward from a center of the wheel holder in a radial direction; each of the arms (22, 23, 24) having at least one movable element (32, 33, 34) that is movable in the radial direction; a synchronization system which is designed to synchronize the movable elements (32, 33, 34), and a drive system which is designed to drive the movable elements (32, 33, 34), wherein the synchronization system (40, 52, 53, 54) comprises - a central rotation element that is disposed in the center of the wheel holder such that it can rotate; and - at least two coupling elements (52, 53, 54) each extending between one of the movable elements (32, 33, 34) and the central rotation element such that the movable elements (32, 33, 34) are movable in the radial direction by rotation of the rotation element; and wherein the drive system (63, 64, 73, 74) comprises at least one drive device (63, 64) and at least one force transmitting element (73, 74), wherein the at least one drive device (63, 64) is designed to generate a force and to transfer the same via the at least one force transmitting element (73, 74) to one of the movable elements (32, 33, 34) such that the force acting on the movable element (32, 33, 34) is directed towards the center of the wheel holder; characterized in that the at least one drive device (63, 64) comprises a wheel, a roller or a drum (93, 94), and wherein the at least one force transmitting element (73, 74) is adapted to be wound onto the wheel, the roller or the drum (93, 94). at least two arms (22, 23, 24) extending outward from a center of the wheel holder in a radial direction; each of the arms (22, 23, 24) having at least one movable element (32, 33, 34) that is movable in the radial direction; a synchronization system which is designed to synchronize the movable elements (32, 33, 34), and a drive system which is designed to drive the movable elements (32, 33, 34), wherein the synchronization system (40, 52, 53, 54) comprises - a central rotation element that is disposed in the center of the wheel holder such that it can rotate; and - at least two coupling elements (52, 53, 54) each extending between one of the movable elements (32, 33, 34) and the central rotation element such that the movable elements (32, 33, 34) are movable in the radial direction by rotation of the rotation element; and - a central rotation element that is disposed in the center of the wheel holder such that it can rotate; and - at least two coupling elements (52, 53, 54) each extending between one of the movable elements (32, 33, 34) and the central rotation element such that the movable elements (32, 33, 34) are movable in the radial direction by rotation of the rotation element; and wherein the drive system (63, 64, 73, 74) comprises at least one drive device (63, 64) and at least one force transmitting element (73, 74), wherein the at least one drive device (63, 64) is designed to generate a force and to transfer the same via the at least one force transmitting element (73, 74) to one of the movable elements (32, 33, 34) such that the force acting on the movable element (32, 33, 34) is directed towards the center of the wheel holder; characterized in that the at least one drive device (63, 64) comprises a wheel, a roller or a drum (93, 94), and wherein the at least one force transmitting element (73, 74) is adapted to be wound onto the wheel, the roller or the drum (93, 94).