Angular momentum transfer to a star by gravitational waves

Interaction of a stochastic background of gravitational radiation with celestial systems changes their dynamical elements in a random manner and give rise to secular changes in time. In this spirit we study the angular momentum transfer from a random background of radiation either to a rotating star or to an oscillating one. The angular momentum transferred to such objects by a continuous plane wave is proportional to time, $t$, and by an stochastic background is proportional to $t^{1/2}$.