In my general relativity course my professor recommended that it would be useful to convince ourselves that in 3 dimensions the vacuum field equations are trivial because the vanishing of the Ricci tensor implies the vanishing of the full Riemann tensor. However, I am unsure of how to show this mathematically; if someone could help me or point me in the right direction I would appreciate it, thanks.(adsbygoogle = window.adsbygoogle || []).push({});

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# Vanishing Ricci Tensor in 3 Dimensions

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