Gravitational field contradiction
By Newton's theory, a gravitational field is no way dependent on the motion of matter. Thus the gravitational fields of a revolving sphere and a sphere at rest are perfectly identical provided their masses are equal. By Einstein's theory, this is not so: the gravitational fields of the two spheres differ slightly. What is the difference?
The most illustrative (if somewhat oversimplified) picture of this difference is the rotating body surrounded by an additional vortex gravitational field which entrains all bodies into circular motion. Another illustration would be to say that layers of space slowly revolve around the body, with the angular velocity of rotation being a function of distance: it is low far from the body and increases as we move closer to it.
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