NEWS 2017: Nobel Prize for proving of Gravitational Waves!
Take the Newton's theory. Two masses of detector (m, m) are connected through an elastic material (which length is L), the source of gravity is in r meters away (and has mass M) and has the size X.
Then the force, which is expressed on receiver is:
F = GmM/(r-L)^2-GmM/r^2. Now, the source is vibrating with amplitude X. Then, the force in receiver is vibrating with amplitude dF = d(GmM/(r-L)^2-GmM/r^2)=-6 GmM L X/(r^4).
Its the 4-th order gravity wave. There can not be infinite speed in nature (because can not be measured), so the gravity wave propagates with finite speed. All that could be realized already by Newton.
The General Relativity adds the 2-nd order vibration, so, finally the vector of stress, expressed on detector is
dF=-A 6 GmM L X sin(t)/(r^4) + B sin(t)/(r^2),
where A and B are two different constant vectors.
P.S. Give likes also to my post about methodology of Science:
Who has changed the unchangeable Laws of Nature? Lawmaker. Can we call this lawmaker "God"?