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A note on the description of plane gravitational waves in Fermi coordinates

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arxiv 2309.05599 v1 pith:2ZHUBJJY submitted 2023-09-11 gr-qc

classification gr-qc
keywords gravitationalwavecoordinateseffectsfermiframeplaneterms
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We use the formalism of Fermi coordinates to describe the interaction of a plane gravitational wave in the proper detector frame. In doing so, we emphasize that in this frame the action of the gravitational wave can be explained in terms of a gravitoelectromagnetic analogy. In particular, up to linear displacements from the reference world-line, the effects of the wave on test masses can be described in terms of a Lorentz-like force equation. In this framework we focus on the effects on time measurements provoked by the passage of the wave, and evaluate their order of magnitude. Eventually, we calculate the expression of the local spacetime metric in cylindrical coordinates adapted to the symmetries of the gravitational field and show its relevance in connection with the helicity-rotation coupling.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Elliptically Polarized Plane Gravitational Waves

    gr-qc 2025-01 accept novelty 6.0 of 10

    Exact elliptically polarized plane gravitational wave solutions exhibit a cosmic jet effect: generic timelike and null geodesics asymptotically align with the propagation direction at speed c.

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