Comment Nonlinear Gravity [Re:Altering General Relativity] (Score 1) 356
As I understand it GR does *not* factor in the energy within the gravitational field as creating it's own "secondary" field
It is built into the theory. This is why GR is a nonlinear theory-- which is precisely what makes it so difficult to solve.
- if it did gravity would no longer follow the inverse-square law near singularities,
Correct. Gravity only follows inverse square law in the weak-field limit. Orbits in 1/r2 potentials are ellipses. Orbits in Schwartzschild geometry are not ellipses. Right there you know that Einsteinian gravity differs from Newtonian 1/r2 gravity.
I actually would like to spend some time to elucidate how it is that nonlinearity in GR means that it incorporates the effect of gravity on gravity-- but I'm afraid I just don't have the time to spare at the moment.
... Bottom line, we have Einstein himself on record saying he chose to ignore the energy in a gravitational field as "double counting", are you really going to argue the point with his ghost?
Not only would I not argue, I would agree with him. Since the gravitational effect of gravity is already accounted for in general relativity, it would be double counting to count it again.