According to Sean Carroll’s Lecture Notes on General Relativity, equation (4.20) and text below, the Newtonian limit is obtained when [itex]g_{00} = -(1+2\phi)[/itex]. However, in Schutz’s “A first course in General Relativity” it is additionally required that [itex]g_{11} = g_{22} = g_{33} = (1+2\phi)[/itex]. I do not understand the need for this. Are both metrics a correct newtonian limit? Why does Schutz put this additional requirement?(adsbygoogle = window.adsbygoogle || []).push({});

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# Newtonian limit

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