I recently got an understanding of general relativity and what it means for spacetime to be bend, and what 4d spacetime really is (https://www.youtube.com/watch?v=sryrZwYguRQ).
I understand that due to the equivalence theorem in GR, and since the magnitude of the four-velocity is always the speed of light, as time slows down near an object, movement in the x, y, and z.
In addition, this animation was good at giving some visuals, explaining how the geodesics apply here. https://www.youtube.com/watch?v=DdC0QN6f3G4.
My question is, in a black hole, what would happen to the curvature of the spacetime in the video link directly above.
When I looked at the answer to this question, Spacetime around a Black Hole, it has these pictures that aren't very helpful. This notion of spacetime some how being ripped, doesn't provide me an intuitive (or mathematical understanding) of what is going on. A mathematical explanation of what is going on would be nice (as long as it isn't incredibly complex).