According to to what I've seen, according to FE theory, gravity (and by extension, essentially the entirety of physics) doesn't exist. I don't think you'll get anywhere using your, dare I say, "fancy mathematics" here. You have to keep things really simple.
Edit: Wait a second, how does that theory work again? Does the change in mass permit continued constant acceleration, or is the point of the changing mass to discourage any further acceleration, so as to not exceed the speed of light? I'm not a physicist, so I wouldn't know. It seems that the implication here is that the energy required for FE's "universal accelerator" or whatever to continue to accelerate the earth upward at 9.8 ms^-2 would necessarily diverge to infinity to counteract the huge increase in mass by the Lorentz transformation.