Electrostatic self-force in (2+1)-dimensional cosmological gravity

TL;DR

This paper investigates how a point charge experiences electrostatic self-force in a (2+1)-dimensional universe with point masses and a cosmological constant, revealing the influence of conical singularities on classical fields.

Contribution

It provides a detailed analysis of electrostatic self-interaction effects caused by conical singularities in (2+1)-dimensional gravity with a cosmological constant, a novel exploration in lower-dimensional gravity.

Findings

Self-force depends on the conical geometry induced by point masses.

The presence of a cosmological constant modifies the self-interaction behavior.

Explicit expressions for the electrostatic potential and self-force are derived.

Abstract

Point sources in (2+1)-dimensional gravity are conical singularities that modify the global curvature of the space giving rise to self-interaction effects on classical fields. In this work we study the electrostatic self-interaction of a point charge in the presence of point masses in (2+1)-dimensional gravity with a cosmological constant.