Gravitational radiation from sources which extend into their own wave zone

Gravitational radiation generated by a weak-field source is expressed purely in terms of the retarded transverse quadrupole moments of the stress-energy components $T^{00}$, $T^{0l}{n}_l$, and $T^{\mathrm{ml}}{n}_m{n}_l$, where $\overrightarrow{n}$ is the direction to the observer. Although resembling the usual quadrupole formulation, the equation derived does not assume slow motion or small sources, nor is it limited to quadrupole radiation. A detailed example of a highly directional emitter, the "gravitational screw," is worked out.