We consider the gravitational interaction of spinless relativistic particle and infinitely thin cosmic string within the classical linearized-theory framework. We compute the particle’s motion in the transverse (to the unperturbed string) plane. The reciprocal action of the particle on the cosmic string is also investigated. We derive the retarded solution which includes the longitudinal (with respect to the unperturbed-particle motion) and totally-transverse string perturbations.

中文翻译：

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宇宙弦与无旋粒子的引力相互作用

我们在经典的线性化理论框架内考虑了无旋相对论粒子和无限细宇宙线的引力相互作用。我们计算粒子在横向（未受干扰的弦）平面上的运动。还研究了粒子在宇宙弦上的相互作用。我们推导了延迟解，该解包括纵向（相对于未扰动的粒子运动）和完全横向的弦扰动。