Gravitational Waves by the Perturbation of a Rotating Axisymmetric Rigid Body

Precession is one of the important mechanisms of gravitational wave generation in astrophysics. In general, free precession of a rigid body can be caused by the rotation of a triaxial body. In the case of symmetric body, if only the principal axis does not coincide with the axis of rotation, then there is the precession. When a symmetric body rotates around one of its principal axes, the body cannot move with precession. However, when there is a perturbation in angular velocity of the symmetric body spinning around the principal axis of the largest moment, the body can have a precession motion. In this paper, the wave forms and their characteristics of gravitational waves by the perturbation of a rotating axisymmetric rigid body are studied.