The Parametric Transition of Strange Matter Rings to a Black Hole

TL;DR

This paper demonstrates through numerical analysis that strange matter rings can smoothly transition into extreme Kerr black holes, revealing universal behaviors and features like a throat region, with implications for stability.

Contribution

It provides the first detailed numerical evidence of the parametric transition from strange matter rings to extreme Kerr black holes and studies their multipole moments and stability properties.

Findings

Strange matter rings can transition to extreme Kerr black holes.

Universal behavior observed in multipole moments near the transition.

A throat region characteristic of extreme Kerr spacetime appears.

Abstract

It is shown numerically that strange matter rings permit a continuous transition to the extreme Kerr black hole. The multipoles as defined by Geroch and Hansen are studied and suggest a universal behaviour for bodies approaching the extreme Kerr solution parametrically. The appearance of a `throat region', a distinctive feature of the extreme Kerr spacetime, is observed. With regard to stability, we verify for a large class of rings, that a particle sitting on the surface of the ring never has enough energy to escape to infinity along a geodesic.