I’ve started studying general relativity, and I’ve been trying to understand the Ricci Tensor. Wikipedia says it involves how a shape changes volume as it travels a geodesic in curved spacetime. This would imply that a Ricci Tensor of zero would mean the shape doesn’t change volume along that geodesic, correct? How does this relate to the Schwarzschild Metric? Wouldn’t that curved spacetime cause a change in volume of a shape along the geodesic, and thus mean the Ricci Tensor would be nonzero?
2026-03-29 04:34:45.1774758885
Explanation of Ricci Tensor?
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