Harmonic Coordinates in the Problem on Static Gravitational and Massless Scalar Fields with a Point Source

Here approximate expressions for the De Donder-Fock harmonic coordinates are given in the case when kG2 >> k2m2 and in the case kG2 << k2m2, where k is the Newton gravitational constant, G is a scalar constant, m is the mass of a system. Harmonic coordinates appear, in particular, in the Rosen bi metric general relativity and in the Chernikov theory with two connections but one metric if one passes to the Einstein theory. They both contain a generalized condition, which tends to the De Donder harmonic condition in the limiting case. 6 refs., 2 figs