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Multiple gauge theories predict the presence of cosmic strings with differentmass densities $G\mu/c^2$. We derive an equation governing the perturbations ofa rotating black hole pierced by a straight, infinitely long cosmic stringalong its axis of rotation and calculate the quasinormal-mode frequencies ofsuch a black hole. We then carry out parameter estimation on the first detectedgravitational-wave event, GW150914, by hypothesizing that there is a stringpiercing through the remnant, yielding a constraint of $G\mu/c^2 <3.8\times10^{-3}$ at the 90\% confidence interval with a comparable Bayes factor with ananalysis for a Kerr black hole without a string. In contrast to existingstudies which focus on the mutual intersection of cosmic strings, or the cosmicstring network, our work focuses on the intersection of a cosmic string with ablack hole, with characteristics which can be identified in binary coalescencesignals.

Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings