Question black holes

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A rotation 4 times faster where the radius is small to a rotation where the radius is large does not necessarily give a time dilation difference between the two. If, that is, the dilation expected results from speed of travel (movement through space) as observed from outside the system (SR). Maybe I miss the point (?)
There is a complication if the rotation speeds are exceptionally high. In the context of general relativity, rotating massive objects can cause the surrounding spacetime to "drag." However -in the case of the sun - this would not be noticeable . Er, I think.