One could observe in many cases that the more massive an object is, the greater its surface gravity will be. Of course, the planets in our solar system are not composed of extremely dense matter and can be fairly well penetrated by the fabric of space-time. Consequently, I would think that the fabric of space-time can easily penetrate the Earth to its very core. We know that even in our deepest mine shafts we have gravity. Compact objects in the universe are made up of extremely dense matter.
Black holes are one type of compact object.
I like to use the following analogy to illustrate why gravity is so enormous on the surface of a black hole. Imagine a ball of hard rubber cut in half. Place a large steel ball bearing between the halves and press the halves together. The fabric of space-time is like the hard rubber. It is unforgiving and unyielding.