What happens to space time when entering a black hole?

Answer 1

According to principles of relativity, spacetime itself experiences a curvature as a result of mass; the greater the gravity, the more the curvature. This proposed curvature has been shown to be consistent with experimental observations, and is a convenient way to explain phenomena like time dilation. This distortion of spacetime would increase continuously the closer you got to the singularity of a black hole, all the way up to an extreme sometimes referred to as 'infinite' curvature. There would be no abrupt change to it at the moment a black hole is entered at the event horizon. This boundary of a black hole is simply the point at which the escape velocity equals the speed of light and thus, at which no light from inside would escape. A distant observer watching an object fall into a black hole would observe the object's fall slowing to a halt at the event horizon; somebody falling in might notice a distant clock outside the black hole appear to be increasing in speed.