Abstract: Further exploration of the Ω-field theory as first proposed by Yu (1989) is here presented to cover the equation of motion of a test particle which induces gravitational radiation. The same theory is shown to contain an exact gravitational radiation equation derived as a logical consequence of field equations without extra postulates. In this general dynamic context the theory is renamed "The (Ω,A_μr) field Theory".

Key words: the Ω field, theory of gravitational radiation, the (Ω,A_μr)-field theory