Post-Newtonian gravitational radiation of a system of two compact objects in the field theory of gravitation

Conclusions

Using the general expressions of the field theory of gravitation in the second nonvanishing, post-Newtonian, approximation, we have obtained the expressions (19) and (20) for the intensity of the gravitational radiation L, and also the total energy emitted during a period of elliptic motion of the bodies, E_e (29), and the bremsstrahlung energy E_h (30) for a system of two static spherically symmetric compact bodies. We have shown that the Peters-Mathews coefficients in the field theory are equal to k₁=12, k₂=11, and that there is no dipole radiation: k_L=0. The expressions obtained for L, E_e, and E_h in the post-Newtonian approximation make it possible to compare the predictions of the field theory with the results of observations.