2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36139Differential properties of a spin 2 boson field $ψ_{μν}$ describing propagation of gravitational perturbations on a straight cosmic string's space-time background are studied by means of methods of the differential spaces theory. It is shown that this field is a smooth one in the interior of cosmic string's space-time and looses this property at the singular boundary except for cosmic string space-times with the following deficits of angle: $Δ=2π(1-1/n) $, $n=1,2,...$. A relationship between smoothness of $ψ_{μν}$ at the singularity and the gravitational conical bremsstrahlung effect is discussed. A physical interpretation of the smoothness notion is given. It is also argued that the assumption of smoothness of $ψ_{μν}$ at the singularity plays an equivalent role to the Aliev and Gal'tsov "quantization" condition.3 pages, LaTeX, mprocl.sty, to appear in the Proceedings of the 8th Marcel Grossman Meeting, Jerusalem, June 1997 (World Scientific, Singapore)General Relativity and Quantum Cosmologytext