GRAVITATIONAL-RADIATION FROM THE OSCILLATIONS OF A ROTATING-DISK OF DUST

A recently found analytic first-post-Newtonian-order solution to the p roblem of the relativistic oscillatory motion of a rotating disk of du st is applied to the determination of the gravitational wave emission and radiation damping. The secular changes of the oscillation period a nd of the minimal rotation frequency at the rim of the disk are shown graphically. Gravitational waveforms ace presented which take into acc ount the damping of the disk through gravitational-wave emission. The implications for two merging white dwarfs are discussed.