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I'am trying to imagine/visualize how does the distorted Space look like.

But geometry of Schwarzschild solution reminds us the Geometry on the sphere. So if in Schwarzschild geometry I want to look at a triangle lying in an equatorial plane, I just look at it on the sphere. so That's why in textbooks distortion of space-time is represented as a plastic surface pushed by finger.

If to put a BH on a flat plane, I was thinking that distorted space time will look like in images shown bellow, but geometry on such "plane" is not the same as Schwarzschild's one .(so was I wrong?) So it seems it is mandatory to think about distortion in higher dimensional space when thinking about gravity and it's not possible to imagine how does gravity distort two dimensional plane without deforming in 3rd dimension?

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# How to imagine distorted space

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