(adsbygoogle = window.adsbygoogle || []).push({}); Energy-mom tensor does not determine curvature tensor uniquely ???

If the energy momentum tensor is known, that fixes the Einstein tensor uniquely from the Einstein eqs. Einstein tensor is built from Riemann contractions so it doesn't fix Riemann uniquely.

Does that mean a single energy momentum tensor can generate spacetimes with different curvature tensors?

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# Energy-mom tensor does not determine curvature tensor uniquely ?

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