Orbital dynamics and spin-precession around a circular chiral vorton

TL;DR

This paper investigates the orbital and spin-precession dynamics around a circular chiral vorton, revealing complex trajectories and unique precession features that could aid in observational detection of vortons as dark matter candidates.

Contribution

It provides the first detailed analysis of test particle geodesics and spin-precession frequencies around a chiral vorton using the recently derived weak-field metric.

Findings

Identified various classes of particle trajectories including bound and unbound orbits.

Revealed precession features with divergences and multi-minima structures unlike Kerr black holes.

Showed potential observational signatures for vorton detection based on dynamical and precessional behaviors.

Abstract

Vortons are of interest in high-energy physics as possible dark matter candidates and as probes of Grand Unified Theories. Using the recently derived weak-field metric for a chiral vorton, we study the dynamics of test particles by analyzing both timelike and null geodesics. We identify several classes of trajectories, including bound precessing orbits, circular orbits, toroidal, and crown-type oscillations, as well as unbound scattering paths. Poincare surfaces of section reveal transitions between regular and chaotic motions that depend sensitively on the vorton tension $G\mu$ and initial conditions. We further compute the Lense-Thirring and general spin-precession frequencies for gyroscopes along Killing trajectories. The resulting precession profiles exhibit several distinct features not present in Kerr black holes but reminiscent of Kerr naked singularities, such as: divergences near the ring core, and multi-minima structures. These dynamical and precessional signatures may offer potential observational pathways for detecting vortons.