Probably hard question in general relativity

Subject:Probably hard question in general relativity
Date:Sat, 5 Dec 2009 21:20:11 -0800 (PST)
My 16 year old son asked me this question and I realized I really
don't know the answer. I know that gravitational force and waves
travel at the speed of light but can gravitational force be affected
by relativistic velocities?

For example. Suppose that a massive object suddenly receded from you
at .5C. Would the force of its gravitational field be affected by its
relativistic mass gain? Is there something equivalent to red shifting
that happens to gravitational field intensity as a massive object
moves towards or away from you? Or to compute the field intensity
would you simply use F = Gm1m2/R^2 where R is the apparent distance to
the object from your standpoint.



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