Spin-Gravity Coupling in a Rotating Universe

Bahram Mashhoon; Masoud Molaei; Yuri N. Obukhov

Spin-Gravity Coupling in a Rotating Universe

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arxiv 2304.08835 v2 pith:XKZQOEX6 submitted 2023-04-18 gr-qc

Bahram Mashhoon , Masoud Molaei , Yuri N. Obukhov This is my paper · ORCID

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keywords couplingforcegoedel-typegravitomagneticuniversefieldmathissonspin

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The coupling of intrinsic spin with the nonlinear gravitomagnetic fields of Goedel-type spacetimes is studied. We work with Goedel-type universes in order to show that the main features of spin-gravity coupling are independent of causality problems of the Goedel universe. The connection between the spin-gravitomagnetic field coupling and Mathisson's spin-curvature force is demonstrated in the Goedel-type universe. That is, the gravitomagnetic Stern--Gerlach force due to the coupling of spin with the gravitomagnetic field reduces in the appropriate correspondence limit to the classical Mathisson spin-curvature force.

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gr-qc 2025-02 conditional novelty 3.0 of 10

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.

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