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Cosmic strings, as remnants of the symmetry breaking phase in the EarlyUniverse, may be susceptible to non-local physics. Here we show that thepresence of a Poincar\'e-invariant non-locality -- parametrized by a factor$\exp(-\Box\ell^2)$ -- regularizes the gravitational field and thereby changesthe properties of spacetime: it is now simply connected and the angle deficitaround the cosmic string becomes a function of the radial distance. Similarchanges occur for the non-local gravitomagnetic field of a rotating cosmicstring, and we translate these mathematical facts into the language ofnon-local gravitoelectromagnetism and thereby provide a physicalinterpretation. We hope that these insights might prove helpful in the searchfor traces of non-local physics in our Universe.

Angle deficit & non-local gravitoelectromagnetism around a slowly spinning cosmic string