  The wave type field equation $\square \vt^a=\la \vt^a$, where $\vt^a$ is a
coframe field on a space-time, was recently proposed to describe the gravity
field. This equation has a unique static, spherical-symmetric,
asymptotically-flat solution, which leads to the viable Yilmaz-Rosen metric. We
show that the wave type field equation is satisfied by the pseudo-conformal
frame if the conformal factor is determined by a scalar 3D-harmonic function.
This function can be related to the Newtonian potential of classical gravity.
So we obtain a direct relation between the non-relativistic gravity and the
relativistic model: every classical exact solution leads to a solution of the
field equation. With this result we obtain a wide class of exact, static
metrics. We show that the theory of Yilmaz relates to the pseudo-conformal
sector of our construction. We derive also a unique cosmological (time
dependent) solution of the described type.
