- #1
TheMan112
- 43
- 1
How do I rewrite Einsteins famous field equation
[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?
[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?