# Arbitrarily coupled massive scalar field in conical thin-shell spacetimes

## TL;DR

This paper investigates the behavior of a massive scalar field around charged particles in conical thin-shell spacetimes, focusing on Green's functions, stability, and self-force effects related to the coupling with extrinsic curvature.

## Contribution

It introduces a detailed analysis of scalar Green's functions and self-force in conical thin-shell spacetimes, highlighting the role of extrinsic curvature coupling.

## Key findings

- Resonant and stable Green's functions are characterized.
- Stable coupling values are identified within the safety domain.
- Self-force effects are analyzed for static charges.

## Abstract

We study the massive scalar field of a charged particle held at rest in conical thin-shell spacetimes with one or two asymptotic regions. Resonant and stable scalar Green's functions are characterized in terms of the coupling of the field to the trace of the extrinsic curvature jump at the shell. Stable coupling values, within the safety domain of the configuration parameters, are used to analyze the self-force of static point charges.