I am not sure I can express clearly my thoughts on this one, but I am going to try. The effect of mass on space, and the resulting gravity, is sometimes described, in a two dimensions graphic, as a bowling ball applying pressure on the surface of a mattress, or something equivalent. Thus, the resulting deformation of the surface, which extends far away from the center, explains why smaller balls in the vicinity are bound to orbit the bowling ball. Yet, the problem is that the effect of such a pressure applied in a two dimension system are completely different than those experienced in a three dimension system, where pressure is applied in all directions at the same time, and not only vertically as in the example of the mattress. To describe this effect, I think a more appropriate reference would be that of a head, representing the sun, covered with a balaclava, representing space. In this case, the material, once stretched, tends to stick around the object that causes the deformation. Thus, only the space relatively close to the object is bent, or curved. The question therefore is: how can a massive object create a deformation (curving, bending) of space, in all directions simultaneously, that extends so far away?