ok so say for instance you are being sucked into a black hole and matter and has an asymptote value of how close it can get to the speed of light and the change in relative time to the outside world assuming we can observe the inside of a black hole would matter literally slow down after it crosses the event horizon because the relative time is effected so much?

You need to specify a frame of reference - from the infalling observer's point of view who is in free-fall there can be no dilation in time measured in his own frame and he falls into the black hole and dies, from the point of an accelerating observer (ie someone in a rocket who is keeping a steady distance from the black hole) then the signal/view of the infaller becomes more and more red-shifted until it is no longer recognisable as a signal. The outside observer in an accelerating reference never sees the infaller cross the event horizon - but undoubtedly the infaller does cross the even horizon; the difference of opinion is due to the massive distortions to space time around the black hole and the problems this causes for propagation of radiation.

Say for instance earth is where youoh are observiby it from

Say for instance earth is where youoh are observiby it from

Say for instance earth is where youoh are observiby it from

To add detail to imatfaal's comment, you might want to read this: http://math.ucr.edu/home/baez/physics/Relativity/BlackHoles/fall_in.html

 

There are descriptions and animations of what it would be like to enter various kinds of black holes here: http://jila.colorado.edu/~ajsh/insidebh/index.html

Relativity is ( and gives us ) a description of how the same event is measured by different observers ( in different frames ).