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in empty space. Einstein had been here before, but he and Grossman had been led off the scent earlier with their erroneous belief that Eqn (12.9) did not have the correct form in the Newtonian limit.

When Einstein managed to show that Eqn (12.9) led to exactly the right advance for the perihelion of Mercury, he knew he was very close, and it did not take him long to appreciate that no additional assumptions were required if he wrote R^V = —k(T^v — 2g^V T), where T = T or equivalently,

These are the field equations of general relativity from which the metric tensor is to be determined. An analysis of the Newtonian limit reveals that the coupling constant k must have the value 8n G/c4. Note that in empty space we still have

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