In the linearized regime of nonlocal gravity, the gravitomagnetic field of a rotating mass acquires a tiny nonlocal correction, below one part in 10^10 of the general-relativistic value for Earth and Moon.
Limitations of spacetime measurements
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Nonlocal Gravitomagnetism
In the linearized regime of nonlocal gravity, the gravitomagnetic field of a rotating mass acquires a tiny nonlocal correction, below one part in 10^10 of the general-relativistic value for Earth and Moon.