In flat space the atoms in a metal have regular packing structures. A slight curvature of space would mean this wasn't geometrically possible. As a consequence do we expect metals to have a significantly lower density with a slight curvature of space? Obviously, this doesn't just apply to the atomic structures of metals, but it's an example of where the effect would be most pronounced. This effect seems to differ significantly between the Newtonian and Einsteinian views of gravity. Is that correct? Do we expect atomic structures to be under a vastly greater degree of stress when moving though varying gravitational fields than is predicted by Newtonian gravity? Can we use this effect to detect and measure curvature in space? Does it have a name?