Kairat

These are the details. The movement of a four dimensional body through three dimensional space might be very funny since we can not imagine that. It can also depend on other parameters. I just gave a general idea. There is no better explanation of "why a matter curves the space".

Space is three dimensional. Matter is four dimensional. The fourth dimesnion is time. So the matter is moving along it's fourth dimension (i.e. time) through space and interacts with it causing it to curve. Mass is a kind of viscosity coefficient. The more massive a body is, the slower time passes. If we continue to increase the mass of a body time will stop at some point and we get a black hole.