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Valentino1949 OP t1_j0e17ce wrote

Reply to comment by Chemomechanics in Since the first derivative with respect to space is slope (or gradient) and the second derivative with respect to space is curvature, what is the third derivative with respect to space (not with respect to time)? by Valentino1949

I am looking for a name, if it has one, and what exactly is the physical significance of spatial variation in curvature. Since curvature of space is the result of distributions of mass, what is the source of spatial variations of curvature? Does this relate to some property of mass distributions, or perhaps momentum distributions?

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Chemomechanics t1_j0e30wk wrote

> curvature of space is the result of distributions of mass

Spacetime, not space. You may wish to edit your question to emphasize that the context you're interested in is general relativity.

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