Dyson Spheres And Ring Worlds... err... HOW?

Well, to keep the question short and to the point: how would you keep a rigid structure centered on the star? Seems to me like basically the shell theorem works both ways, so there's not an awful lot holding such a mega-structure centered on the gravity well. In fact, it seems to me like nothing at all is keeping it centered.

So... err... how was that supposed to be solved?

via International Skeptics Forum http://ift.tt/2y34drB