Time is not the same for things moving at different speeds. A black hole singularity is where matter is compressed into zero volume. Matter without volume suggests infinite density, but Nature abhors infinites. At the singularity, something called quantum gravity takes over, rips space and time apart, and leaves only a timeless remnant of space called quantum foam . Einstein's Outrageous Legacy .
Light rays appear to bend in the warped space surrounding massive objects.
That's how a gravity lens works. But light is supposed to take the shortest distance and travel in a straight line. If you were a light ray, however, you would be going in a straight line because in curved space-time, a straight line is curved. So to you, you are going straight, but to a distant observer, your path appears to bend. An ordinary object would slow down because it looses energy to gravity.