Here is an interesting and possibly helpful perspective:
Stationary objects are moving through time but not through space. When you get accelerated by a gravitational field, this means you start moving through space in addition to time.
Because of the way maths in general relativity works, your ‘velocity’ through the 4-dimensional spacetime must always be constant (and equal to the speed of light, *c*). So when you start moving through *space*, this means you slow down in *time* – otherwise your total velocity would be too high.
Incidentally, it’s not just black holes that warp time, *anything* that exerts *any* amount of force warps time, because it’s the act of *moving through space* which is what slows down time. You are warping time every time you walk to the supermarket. The gravitational field is just a good way to accomplish that, since especially black holes can accelerate things extremely well.
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