1. Introduction
4. Summary
Quadrupole Gravitational Wave Radiation Formulas
Here, g is the metric tensor, eta is the Minkowski metric, and h is the distortion caused by the gravitational wave. The strains h are much smaller than the Minkowski metric.
For slow motion sources, the quadrupole approximation leads to the following expressions for the strains for the two polarization modes,
In the above, Iij is the quadruple moment tensor, and we mix Cartesian and spherical polar coordiantes. The GW luminosity and reaction torque are