Gravitational waves, gyroscopes and frame dragging

Physics

Scientific paper

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Scientific paper

We study the behaviour of a small gyroscope moving on a circular trajectory in the field of a weak gravitational plane wave. In order to monitor the precessional velocity we introduce an observer comoving with the gyroscope and an observer-adapted frame optically defined by means of light rays and not Fermi-Walker transported. From such a frame we infer some physical information about the gravitational-wave-induced frame dragging, which the observer will detect looking at the small perturbations on the gyroscopic precession. We find evidence of gyroscope sensitivity to the polarization state of the gravitational wave. As expected, the general relativistic precession of the compass of inertia and the `memory effect' which are discussed in this paper are very small and hardly detectable with modern technology; however, they are operationally well defined and therefore not ignorable for future considerations.

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