Intrinsic spin couples to gravity via rotation, producing a mass-independent gravitomagnetic Stern-Gerlach force that violates free-fall universality, but at an unmeasurably small level.
Gravitomagnetic Helicity
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abstract
Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining of the gravitomagnetic field lines. We discuss gravitomagnetic helicity within the gravitoelectromagnetic (GEM) framework of linearized general relativity. Furthermore, we employ the spacetime curvature approach to GEM in order to determine the gravitomagnetic helicity for static observers in Kerr spacetime.
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Inertia
Intrinsic spin couples to gravity via rotation, producing a mass-independent gravitomagnetic Stern-Gerlach force that violates free-fall universality, but at an unmeasurably small level.