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Use this for questions pertaining to curvature of manifolds. Does not need to be specific to general relativity, but also for curvature of e.g. a Calabi-Yau manifold.

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Einstein field equations in empty space, question about non-zero curvature

In four dimensions, however, ... it is therefore possible to satisfy the field equations in empty space with a non-vanishing curvature tensor." "... we conclude that it is only in four dimensions or more … Now, if the $\underline{\text{curvature of spacetime}}$ is related to the $\underline{\text{matter and energy density}}$, then how is it possible that in 4+ dimensions there can be a non-zero curvature
Luke Anastassiou's user avatar