Stability of nonlinear magnetic black holes
Nora Breton
TL;DR
This paper investigates the stability of certain nonlinear magnetic black hole solutions in Einstein gravity coupled with nonlinear electrodynamics, confirming instability for most cases except Einstein-Born-Infeld solutions.
Contribution
It provides a stability analysis of a class of nonlinear magnetic black holes, validating the unstability conjecture for hairy black holes with the exception of Einstein-Born-Infeld solutions.
Findings
Most nonlinear magnetic black holes are unstable.
Einstein-Born-Infeld solutions remain stable.
Supports the heuristic model relating horizon and ADM masses.
Abstract
We study the stability of static spherically symmetric exact solutions of Einstein equations coupled with nonlinear electrodynamics, in the magnetic sector. These solutions satisfy the heuristic model proposed by Ashtekar-Corichi-Sudarsky for hairy black holes, meaning that the horizon mass is related to their Arnowitt-Deser-Misner (ADM) mass and to the corresponding particle-like solution. We test the unstability conjecture that emerges for hairy black holes and it turned out that it becomes confirmed except for the Einstein-Born-Infeld solutions.
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