Features of Motion Around Charged D-Stars

TL;DR

This paper investigates how the charge of D-stars influences the motion of light and neutral particles, revealing effects on deficit angles, periodic solutions, and stability conditions of critical points.

Contribution

It introduces new analysis of motion around charged D-stars, highlighting the impact of charge and deficit angle on particle trajectories and stability.

Findings

Deficit angle of light is scaled by (1 - ε^2) compared to flat spacetime.

Existence of periodic solutions in particle motion around D-stars.

Conditions for stability and instability of critical points are established.

Abstract

The motion of light and a neutral test particle around the charged D-star has been studied. The difference of the deficit angle of light from the case in asymptotically flat spacetime is in a factor $(1-\epsilon^2)$. The motion of a test particle is affected by the deficit angle and the charge. Through the phase analysis, we prove the existence of the periodic solution to the equation of motion and the effect of the deficit angle and the charge to the critical point and its type. We also give the conditions under which the critical point is a stable center and an unstable saddle point.