Stability of the rotating string loops in Kerr spacetime

TL;DR

This paper investigates the stability of rotating circular string loops in Kerr spacetime, analyzing their oscillation frequencies and stability against perturbations for various equations of state.

Contribution

It provides analytical expressions for the fundamental oscillation frequencies and assesses stability of string loops in Kerr spacetime, considering different perturbation modes.

Findings

Derived analytical formulas for oscillation frequencies.

Identified conditions for stability against perturbations.

Analyzed effects of different equations of state on stability.

Abstract

We study stability of the circular string loops rotating in the equatorial plane of Kerr spacetime against equatorial and polar perturbations. We consider motion of such string loops for different modes in the case of arbitrary equation of state. We also obtain analytical expression for the fundamental frequencies of the string loop oscillations under equatorial and polar perturbations.