How do I rewrite Einsteins famous field equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]R_{ab} - \frac{1}{2} g_{ab} R = \frac{8 \pi G}{c^4} T_{ab}[/tex]

into:

[tex]R_{ab} = \frac{8 \pi G}{c^4} (T_{ab} - \frac{1}{2} g_{ab} T)[/tex]

I've tried experimenting with reverse-tracing the Ricci-scalar, but I just don't get the right equation. The trace from these equations would yield [tex]R=-T[/tex]. Is this really correct?

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# Reverse-tracing Einstein's field equation

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