Einstein went to a lot of trouble linking the stress-energy tensor to the Ricci tensor (and curvature scalar).
Fast forward to using General Relativity for the Schwarzschild solution. - Those beautiful field equations are reduced to zero on both sides i.e. Ricci goes to zero. - Symmetry arguments are used to create some limits for the metric. ... And we simply plug in the answer! (weak field approximation)
Is that deeply unsatisfying to anybody else? I had thought of General Relativity as: Energy (T tensor) generates the curvature (R tensor) that makes the geodesics change and, heyho, we see gravity. But the Schwarzschild solution has gravity with Ricci at zero. How can that be? And what was the point of Einstein perfecting his field equations?