On GOOGLE+ ::: I have found a powerful statement AT THE ROOT OF - TopicsExpress

On GOOGLE+ ::: I have found a powerful statement AT THE ROOT OF GENERAL RELATIVITY. From Adler, Bazin, Schiffer, Intro to GR, I quote p 162: We can establish a vector field by parallel displacement ... to all points in the neighborhood of a Riemann space, IF AND ONLY IF THE RIEMAN CURVATURE TENSOR IS ZERO IDENTICALLY. Folks this is certainly not the case in the Kerr particle near-field !! I say in the Schwarzschild solution we lucked out, being able to construct a gravitational potential. Why? Everything has only radial dependence, and so the gradient of the curvature is coincident with the gradient of gravitational potential. Burinskii is bucking this at the moment. I think he may see it. IT IS USELESS TO TRY AND CONSTRUCT A POTENTIAL IN A NON-INTEGRABLE SPACE. This is op you are trying to do. Going from potential to electric field is a gradient, differential op. Going back is an integration !!! YOU ARE WASTING YOUR TIME, IN A CURVED SPACE.

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