Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow

TL;DR

This paper investigates how gravity's rainbow modifies the electrostatic self-energy and self-force of a charged particle near a cosmic string, revealing dependence on rainbow functions and potential deviations from general relativity.

Contribution

It introduces the analysis of electrostatic self-interaction in a cosmic string spacetime within gravity's rainbow, highlighting the influence of modified dispersion relations.

Findings

Self-energy depends on rainbow functions and can increase or decrease.

Self-force also varies with rainbow functions, indicating modified space-time effects.

Results differ from standard general relativity predictions.

Abstract

We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity's rainbow, as well the electrostatic self-force on this particle. The possibility of the solution associated with a charged particle to be altered by modifications in dispersion relations of the space-time is discussed. We show that the self-energy depends on the rainbow functions and that this quantity can either increase or decrease depending on the rainbow function chosen, as compared with analogous result in the framework of general relativity. With respect to the self-force, its dependence with the rainbow functions is also pointed out