Abstract
The behaviour of agyroscope at rest in the TT-grid of a gravitational planewave is analysed. It is shown that spatial frames adapted tothe observer carrying the gyroscope(with respect to which the precession must be measured)can be selected in order to have a precession which is dominated (to firstorder inthe dimensionless amplitude h of the wave) only by one polarizationstate of the wave,giving the gyroscope a sort of filtering property.The discussion is then generalized to the case ofa gyroscope in generic geodetic motion in the same background.
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