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## Main Question or Discussion Point

according to GR spacetime is curved coz of the matter and energy present in the universe... many of the books and tv programmes shows this using a rubber sheet being curved by a heavy ball.. the rubber sheet is 2 dimensional and it is being curved into the third dimension.. but spacetime cannot be curved into a fifth dimension.. GR deosnt claim that there is a fifth dimesion does it..?

i read in einsteins book that in curved spacetime the pythogoras theorem is no longer ds^2=du^2+dv^2 but it becomes ds^2=g11du^2+g12dudv+g21dudv+g22dv^2... but how is this possible if spacetime is not curved into a fifth dimension.?

i read in einsteins book that in curved spacetime the pythogoras theorem is no longer ds^2=du^2+dv^2 but it becomes ds^2=g11du^2+g12dudv+g21dudv+g22dv^2... but how is this possible if spacetime is not curved into a fifth dimension.?