Gravitational radiation from the oscillations of a rotating disk of dust

Physics

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Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Wave Generation And Sources, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime

Scientific paper

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

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