Abstract
We investigate the effect of an infinite cosmic string on a cosmological background. We find that the metric is approximately a scaled version of the empty-space string metric, i.e., conical in nature. We use our results to place bounds on the amount of cylindrical gravitational radiation currently emitted by such a string. We then analyze explicitly the gravitational radiation equations and show that even initially large disturbances are rapidly damped as the expansion proceeds. The implications for the gravitational radiation background and the limitations of the quadrupole formula are discussed.

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