Radiation effects on particle's trajectory in the linear level

TL;DR

This paper investigates how radiation influences the trajectory of particles in de Sitter space-time by deriving the linear scalar self-force and analyzing its effects within a classical framework.

Contribution

It introduces a linear form of the scalar self-force and examines its impact on particle trajectories in de Sitter space-time, providing new insights into radiation effects in this context.

Findings

Derived the linear scalar self-force expression.

Analyzed the effect of self-force on particle trajectories.

Presented limits for the problem in de Sitter space-time.

Abstract

In this work, we first obtain the linear form of the scalar self-force and then, the effect of self-force on the particle's trajectory is considered. In de Sitter space-time, within the classical approach, we consider this effect. Finally, some limits for the problem are presented.