Abstract: In this paper，the effect of the rotation of the unbalanced spherically symmetric weak gravitational source on the external space-time is analyzed by the Kerr metric. Such as how the spatiotemporal bending effect of the gravitational mass is affected by the rotation; how the length of the geodesic is affected by the rotation; how the symmetry of time and space is affected by the rotation.

Key words: spherical symmetry weak gravitational source, external space - time, proper time, geodesic, symmetry, affected by rotation