This is correct. It is a common misconception that the gravity an object exerts on it's surrounding increases when it collapses into a black hole. What actuall

This is correct. It is a common misconception that the gravity an object exerts on it's surrounding increases when it collapses into a black hole. What actually happens is that the object shrinks - according the to the currently accepted models into a single dimensional point. The mass now being confined to a singularity, the gradient of the gravity as you get near becomes extreme, reaching infinity at the singularity. The gradient never could get so extreme before because the mass was diffused over a much bigger volume. Imagine replacing the Sun with a black hole of equal mass. Apart from the lack of visible light, the gravity we here on Earth would experience would be exactly the same as before, as would every single planet that is currently orbiting. What would change is the distribution of mass inside the sun. The event horizon would be at about 6kms from the Singularity. You could now hypothetically approach the Sun to within ~10km from the center and still stay outside of the event horizon, but the gravity gradient at that point would be unimaginable. The difference in force applied to a the feet and the head of a hypothetical astronaut in orbit would disintegrate them into atoms, which themselves would possibly be squished into spindles. With the sun as it is currently, even if you could somehow get to within 10kms of the center, the majority of the mass of the sun would be actually outside of this sphere so the net gravity you'd experience would be negligible (compared to the black hole scenario).