FLATNESS. “Note that this type of effective theory must contain general relativity, but is not defined by curvature alone. Despite that the interesting physics of space-time often is defined as curvature, the governing properties of space-time also extend to how particles propagate through regions of (approximately) flat space-time.”
https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf