Question

what is space time curvature?​

Answer 1

   Local Curvature of Space.According to Einstein's theory of general relativity, massive objects warp the spacetime around them ,and the effect a warp has on objects is what we call gravity.So, locally, spacetime is curved around every object with mass.

Curved space often refers to a spatial geometry which is not "flat" where a flat space is described by Euclidean geometry. Curved spaces can generally be described by Riemannian geometry though some simple cases can be described in other ways.