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On Measuring Gravitomagnetism via Spaceborne Clocks: A Gravitomagnetic Clock Effect
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The difference in the proper azimuthal periods of revolution of two standard clocks in direct and retrograde orbits about a central rotating mass is proportional to J/Mc^2, where J and M are, respectively, the proper angular momentum and mass of the source. In connection with this gravitomagnetic clock effect, we explore the possibility of using spaceborne standard clocks for detecting the gravitomagnetic field of the Earth. It is shown that this approach to the measurement of the gravitomagnetic field is, in a certain sense, theoretically equivalent to the Gravity Probe-B concept.
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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.
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