Gravitational Radiation From a Spinning Ellipsoid of Uniform Density

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Abstract
The gravitational radiation from a spinning ellipsoid and a spinning ellipse of uniform density is calculated. Upon comparison, the numerical coefficients are found to be smaller than that for a spinning rod. Radiation power vanishes when the ellipsoid and the ellipse are reduced to a spheroid and a circle, respectively. A classical rotating mass of uniform density bound by its gravitational field may be shown to be unstable against bifurcation into an ellipsoid if the period of rotation is short enough. Gravitational radiation can dissipate the angular momentum when bifurcation takes place. The calculation is used to estimate the energy-loss rate of a collapsing neutron star. It is shown that the relaxation time for dissipating angular momentum is around one second.

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