Black Holes do not exist ... here is the math (Relativity)
I made a video of my notebook to show some calculations.
Einstein seems to use v=wr for a rotational frame of reference. But that would allow for v to be greater than c. This can't be true. In the limit v should go towards c. In the limit it should be c=wr. The circumference of the circle (in the rotational frame) is contracted more and more with radius r. This to allow a rotation but with the limit of v smaller than c. See the video. Final result is the formula for time dilatation in a gravitational field. It is slightly different from the current form. In the weak limit it is the same. The results for Earth and Sun gravitational fields isn't different. But in the strong limit there is NO Schwarzschild radius. The is no radius where 'light can not escape from'. In fact the limit simply says the clocks comes to a halt at r=0 (because of infinite density) which is trivial for everybody to understand.
Another straightforward argument for the same thing goes as follows. The escape velocity is defined as the velocity needed for a point mass to go from a surface level to infinity. It is per definition the same velocity which a point mass gets when it falls from infinity to that surface. As a point mass never can reach the speed of light c, the escape velocity is always smaller than c. Therefor light, which travels at c always CAN escape. Thus there is no radius to be found where 'light can not escape from'.