Stability of Non-Abelian Black Holes
K.Maeda, T.Tachizawa, T.Torii, T.Maki
TL;DR
This paper investigates the stability properties of non-Abelian black holes, revealing a universal criterion for stability changes linked to entropy maxima, using catastrophe theory.
Contribution
It introduces a universal stability criterion for non-Abelian black holes based on entropy analysis and catastrophe theory.
Findings
Black hole solutions are connected via a family of solutions with entropy maxima.
Stability changes occur at the entropy maximum point.
The stability criterion is universal across different theories with non-Abelian fields.
Abstract
Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of non-trivial black holes. There exists a maximum point of the black hole entropy, where the stability of solutions changes. This criterion is universal, and the changes in stability follow from a catastrophe-theoretic analysis of the potential function defined by black hole entropy.
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