So I had a huge debate about this with my friends. Imagine that you are in a non-inertial frame of reference. For simplicity, assume that frame is accelerated along x-axis. You have held a charge in your hand and hence it is rigidly bound to your body. I am in an inertial frame and I see you accelerated and so I see the radiation coming out from the charge. Would you also see the radiation coming out from the charge even though it is at rest with respect to you?
In my opinion, if one uses the correct transformations, then the radiation in the accelerated frame should simply disappear and you would not be able to detect your acceleration just by looking at the charge. However, I am not sure about this.
There is another dimension to this whole issue in my opinion. Suppose that the correct transformations actually produce some extra term giving rise to the radiation in the accelerated frame. But even then, doesn't it seem more logical that this is solely due to the fact that you would then be accelerated with respect to the matter in the universe and there wouldn't be any such extra term in an universe with no matter at all?