Rotor and rotating electric machine

A rotor includes a rotating shaft, a core and a Halbach array magnet. The Halbach array magnet has first magnet portions each having its magnetization direction oriented along a radial direction and second magnet portions each having its magnetization direction oriented along a circumferential direction. The first magnet portions and the second magnet portions are alternately arranged in the circumferential direction. The core has a shaft-fixed portion, a yoke portion and a plurality of connection portions. The connection portions are arranged in the circumferential direction with gaps formed therebetween. On an inner circumferential surface of the yoke portion, there are formed additional-function portions to extend radially inward from the inner circumferential surface of the yoke portion. Each of the additional-function portions is located radially inside a corresponding one of the second magnet portions and has an additional function in addition to a function of forming the magnetic path.