A black hole is an area of space that has so much mass intense in it that there is no method for a close entity to escape its gravitational pull. Since our best theory of gravity at the moment is Einstein's general theory of relativity we have to look into into some results of this theory to understand black holes in detail but let's start of sluggish by thinking about gravity under fairly simple situation.
The horizon has some very bizarre geometrical properties. To a spectator who is session still anywhere far away from the black hole the horizon seems to be a nice inert motionless spherical surface. But once you get close to the horizon, you realize that it has a very large velocity. In fact, it is moving outward at the speed of light! That explains why it is easy to cross the horizon in the inward direction but not possible to get back out. Since the horizon is moving out at the speed of light in order to escape back across it, you would have to travel faster than light. You can't go faster than light, and so you can't escape from the black hole.
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