Circular orbits of test particles interacting with massless linear scalar field of the naked singularity

TL;DR

This paper investigates how particles interacting with a massless scalar field affect the distribution and topology of stable circular orbits around a naked singularity, revealing complex new orbit structures.

Contribution

It introduces models of particle-scalar field interaction and analyzes their impact on the topology of stable circular orbits around a naked singularity.

Findings

Coupling with scalar field complicates orbit distribution topology.

New non-overlapping stable orbit regions can form.

Interactions can create separated stable orbit zones.

Abstract

We study effects of the particles coupling with scalar field (SF) on the distribution of stable circular orbits (SCO) around the naked singularity described by the well-known Fisher-Janis-Newman-Winicour solution. The power-law and exponential models of the particle--SF interaction are analyzed. The focus is on the non-connected SCO distributions. We show that coupling between particles and SF can essentially complicate the topology of the SCO distributions. In particular, it can lead to new non-overlapping SCO regions, which are separated by unstable orbits and/or by regions where the circular orbits do not exist.