I remember reading a long time ago that there was a straightforward (but operationally difficult) way of constructing General Relativity from the Linear Field Equations. Essentially you start with the Linear Field Equations solution and then generate a stress energy pseudo-tensor for this Linear Field Approximation of the gravitational field, and use that stress-energy pseudo-tensor to generate a second level gravitational field. Then you use the stress energy pseudo-tensor the second level gravitational field to get to the third level etc. Eventually it converges to General Relativity.(adsbygoogle = window.adsbygoogle || []).push({});

This seems at first to be easy, but it is not clear that it is. The stress energy pseudo-tensors of the gravitational field are constructed solely such that the divergence of the sum of {the gravitational field stress-energy pseudo-tensor plus the stress-energy of matter} is zero. I am not sure the standard gravitational field pseudo-tensors ones will work on this procedure in the gauge that is used.

It was Weinberg that did this. If anyone can provide me with the Weinberg reference I would be very grateful.

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# Perturbative Construction of General Relativity

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