Stability and Critical Behavior of Gravitational Monopoles

TL;DR

This paper investigates the stability and critical phenomena of gravitational monopoles by evolving spherically symmetric spacetimes, revealing critical solutions and discussing the no-hair conjecture in collapse scenarios.

Contribution

It provides the first dynamical evolution study of gravitational monopoles, identifying critical solutions and analyzing stability and end states in collapse.

Findings

Identification of a critical monopole black hole solution

Evidence of dynamical attraction to critical solutions

Discussion on the no-hair conjecture in monopole collapse

Abstract

I dynamically evolve spherically symmetric spacetimes containing gravitational 't Hooft-Polyakov monopoles and determine the stable end states of the evolutions. I do so to study stability and critical behavior of the well-known static gravitational monopole solutions. For the static solutions, there exist regions of parameter space where two static monopole black holes and the static Reissner-Nordstrom black hole have the same mass. I find strong evidence that one of the static monopole black hole solutions is a critical solution, to which near-critical solutions are dynamically attracted before evolving to one of the other two static solutions as end states. I also discuss the no-hair conjecture for this model in the context of collapse.