Scalar self-interaction in the spacetime of a cosmic dispiration

TL;DR

This paper analyzes the classical self-interaction of a charged scalar particle in the gravitational field of a cosmic dispiration, providing exact Green's functions and exploring the effects in various topological defect spacetimes.

Contribution

It derives exact Green's functions and self-energy expressions for scalar particles in the spacetime of a cosmic dispiration, combining cosmic string and screw dislocation effects.

Findings

Exact Green's functions obtained for scalar particles

Self-energy behavior analyzed in different topological defect spacetimes

Numerical graphs illustrate the nature of self-interactions

Abstract

In the present paper we investigate the classical self-interaction associated with a charged scalar point particle placed at rest in the gravitational field of a linear topological defect known in literature as cosmic dispiration, a combination of a cosmic string with a screw dislocation. We found exact expressions for the Green's function and, consequently, for the self-energy by considering both massive and massless scalar point particles. We present numerical graphs and analyze the nature of the self-interactions in the cosmic dispiration spacetime itself and in the cases of pure screw dislocation and cosmic string spacetimes.