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were often told in physics that the presence of massive bodies warps the fabric of space and time but what does such a statement actually mean most visuals are heuristic tools that dont offer clear understanding leaving one to wonder is it possible to actually visualize space-time curvature especially near an object so massive we can cross a limit of no return this is dialect with the geometry of a black hole what does the curvature of space and time around a massive body actually look like to answer this question we need to turn to a mathematical object called the Schwartz Shield metric presented in tensor form this metric is a matrix with four Expressions along its diagonal components now in our prior videos we demonstrated how the components of a metric tensor can be interpreted as instructions for resizing infinitesimal pieces of a map in order to fit those pieces to a curved surface and indeed this is the case whether your map is one of a physical surface like that of the Earth