I have a question about a gravitational thought experiment. In relation to GR there is some attention paid to the torque exerted on the local space by a spinning mass, although I think only a sphere is considered and therefore the torque on the surrounding space resolves to a very small number. Also, the torque created by a spinning mass is only thought to be produced by planet size masses. Although, my question involves very small test masses.
The question involves an idealized experiment of a small spinning disk(rotor) several inches in diameter made of a very dense metal positioned below a balance beam, also several inches in diameter. In this “Perfect World” experiment all extraneous variables are accounted for and negated(such as the spin direction of the earth and the direction of it’s magnetic field, etc.) and the disk and balance beam are isolated from each other with no direct contact. Although, the disk spins in close proximity below the balance beam.
If the balance beam moves in the same direction as the spin of the rotor during initial acceleration of the rotor, would this finding be consistent with GR? I’m fairly new to the nuances of GR and I don’t think Newtonian gravity takes into account rotation of the masses under study?