The Schwarzchild spacetime can be foliated by 2-sphere, which are spacelike hypersurfaces of constant t and r (Schwarzchild coordinates) with a normal vector ##\partial_t## (outside the horizon). Because a 2-sphere has no center, the coordinate r is not the radius of the sphere and we consider it as a function of the total area of each such 2-sphere. But why we can't consider these 2-spheres as eccentric spheres with center the r=0 singularity? Isn't r the distance from the r=0 singularity? So the coordinate r can make a perfect sense as the radial coordinate, i.e. distance from the singularity. And what happens inside the horizon? Did the 2-spheres become timelike?