Interesting question.Does a massive particle that is accelerated emit gravitational waves? What if the acceleration is due to a gravitational field?
I am so sorry, being a n00b, I had no idea where my post wound up after it got banned from the thread about electromagnetic interactions. Somehow I clicked on a link just now and got magically transported to this thread, which I now see several people commented on several weeks ago.Interesting question.
As far as I can tell, no one knows whether gravitational waves exist. GR seems to predict them and John Wheeler spent a good part of his life trying to find them. But none have ever been found. Mind you, it is a difficult task.
I am certainly not an expert in GR, but I don't see why the acceleration of a particle should cause emission of gravitational waves, regardless of the means by which acceleration is achieved. As far as I can tell, momentum is always conserved. The total momentum of the system (the momentum of the mass that is being accelerated plus the momentum of whatever it is that is supplying the acceleration) does not change. Assuming that all interactions are elastic, the mass/energy of the system would be conserved.