Gravitational-wave energy flux
= Gravitational-wave energy flux
In the radiation zone, the time-averaged energy flux of a weak wave in <transverse-traceless gauge> is
$$
\frac{dP}{d\Omega}
=\frac{c^3r^2}{32\pi G}
\left\langle\dot h^{\rm TT}_{ij}\dot h^{\rm TT}_{ij}\right\rangle.
$$
Combining this with the far-zone quadrupole field and integrating over directions gives the <quadrupole formula>.