TL;DR
This paper investigates how time-varying gravitomagnetic fields, modeled linearly, affect gyroscope precession and null ray trajectories within the linear post-Newtonian framework of general relativity.
Contribution
It introduces a simple model for linearly changing gravitomagnetic fields and explores their effects on test gyroscopes and null ray motion.
Findings
Time-varying gravitomagnetic fields influence gyroscope precession.
Null ray trajectories are affected by the temporal variation of the source.
The model provides insights into dynamic gravitomagnetic phenomena.
Abstract
Time-varying gravitomagnetic fields are considered within the linear post-Newtonian approach to general relativity. A simple model is developed in which the gravitomagnetic field of a localized mass-energy current varies linearly with time. The implications of this temporal variation of the source for the precession of test gyroscopes and the motion of null rays are briefly discussed.
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