Sorry, I should have been more detailed in my original post.
I'm specifically talking about the time dilation between the surface at the equator (having the most angular velocity) and the center of the sphere. So what I'm imagining is you take a cross-section of the sphere, perpendicular to the axis of rotation, through the center to the surface.
When approaching c at the surface, the matter at the center is moving considerably slower then matter at the surface, thus producing a time dilation between the surface and center.
My question is does the warpage of spacetime at the surface of the sphere;
a) actually tare the sphere apart, producing a swirl like pattern when looking at the above mentioned cross-section, or
b) does it just look like that if viewing the object from an external point of view and locally no change is detected, or
c) there is no swirl, no taring, no time dilation between the surface and center.
Does this clear things up a little?