= Solution
{c}
\b[No, for steady rotation of the uniform sphere.] Its <mass quadrupole moment> is zero by <spherical symmetry>; its rotating <mass current> is stationary when the rotation axis and rate are fixed. A stationary source does not emit <gravitational waves>. Rotation by itself is insufficient: a time-dependent nonaxisymmetric distribution, or another changing radiative <multipole moment>, is required. The conclusion concerns a sphere with the stated constant density and steady motion, rather than a deformed or time-varying rotator.
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