Gravitational Interaction of the Cosmic String with Pointlike Particles

The gravitational interaction of spinless relativistic particle and infinitely thin cosmic string is considered within the classical linearized-theory framework. We compute the reciprocal action of the particle on the cosmic string. We derive the retarded string’s excitation, which includes the longitudinal (with respect to the unperturbed-particle motion) $$\Phi^{z}$$ and totally-transverse ( $$\Phi^{y}$$ ) string perturbations.