Abstract

Transformation equations for gravitational fields analogous to Lorentz-Einstein transformations of relativistic electrodynamics are derived from retarded gravitational field integrals.  The derivation shows that Newton's gravitational theory extended to time-dependent fields is fully compatible with the principle of relativity and allows a covariant formulation.  It also shows that the classical theory of retardation can be used for developing a relativity theory equivalent to Einstein's special relativity theory in its practical aspects but free from the controversial elements of the latter - time dilation and length contraction in particular.