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arXiv · 1801.03044

Stability and Critical Behavior of Gravitational Monopoles

Ben Kain
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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.

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Ben Kain. 2018-01-09. Stability and Critical Behavior of Gravitational Monopoles. https://doi.org/10.1103/physrevd.97.024012

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