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The contribution of cosmological perturbations to the time drift of thecosmological redshift is derived. It is shown that the dominant correctionarises from the local acceleration of both the emitter and the observer. Theamplitude of this effect is estimated to be of the order of 1% of the driftsignal at z=2-4, but can easily be lowered down to 0.1% by using manyabsorption lines and quasars.

Time drift of cosmological redshifts and its variance