We are in empty space and see a spherical drop of water. Around the drop we have placed a massive shell with uniform density. The drop is positioned at the center. Then we set the shell in rotational motion (by small rockets on the side). Will the drop start rotating (slowly)? Will frame drag cause a torque?
The Newtonian idea of gravity predicts a zero gravity field inside the sphere. General relativity predicts frame dragging. The mass-energy-momentum tensor includes momentum and that's what we see in this case.
So, will it rotate? Will the shell and the droplet be eventually rotating in tandem? Of course we must stop the acceleration before a black hole develops...
Can we say the rotating sphere induces torsion?