Black Hole Event Horizon
Hey, my first post here, glad I've found somewhere on the internet to discus this crazy stuff!
Anyway heres my question:
Matter falling into a black hole accelerates towards it under its gravity, towards the "event horizon" (or Rs=2GM/c^2)
The relativistic version of the law of gravity is F=GM/r^2*[1/(1-Rs/r)] so at the event horizon the force becomes infinite so then the speed of matter falling in can become the speed of light given infinite enegry, so it also has infinite mass?
But from outside nothing ever crosses this border as we see it getting slower and slower so it never acctuly touches it. But according to the matter it passes this and then on inside the black hole.
My question is assuming all of this, does that mean at some point there is an infinite amount of matter in the universe that we cannot see? It's all conveniently hidden behind the event horizon. So does this not violate the laws of conservation in a way, there suddenly being infinitley more enegry in the universe?