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.
Helicity-Rotation-Gravity Coupling for Gravitational Waves
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abstract
The consequences of spin-rotation-gravity coupling are worked out for linear gravitational waves. The coupling of helicity of the wave with the rotation of a gravitational-wave antenna is investigated and the resulting modifications in the Doppler effect and aberration are pointed out for incident high-frequency gravitational radiation. Extending these results to the case of a gravitomagnetic field via the gravitational Larmor theorem, the rotation of linear polarization of gravitational radiation propagating in the field of a rotating mass is studied. It is shown that in this case the linear polarization state rotates by twice the Skrotskii angle as a consequence of the spin-2 character of linear gravitational waves.
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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.