Simplified models of electromagnetic and gravitational radiation damping

TL;DR

This paper reviews simplified models of electromagnetic and gravitational radiation damping, analyzing their assumptions, comparing different models, and exploring their relevance to real physical systems and previous theoretical work.

Contribution

It provides a comparative analysis of various simplified models for radiation damping and clarifies their connections to more complex many-particle systems.

Findings

Results depend on the specific model chosen.

Comparisons reveal similarities and differences among models.

Theoretical relations to many-particle systems are established.

Abstract

In previous work the authors analysed the global properties of an approximate model of radiation damping for charged particles. This work is put into context and related to the original motivation of understanding approximations used in the study of gravitational radiation damping. It is examined to what extent the results obtained previously depend on the particular model chosen. Comparisons are made with other models for gravitational and electromagnetic fields. The relation of the kinetic model for which theorems were proved to certain many-particle models with radiation damping is exhibited.