Stability of Non-Abelian Black Holes

K Maeda, T Tachizawa, T Torii, T Maki - arXiv preprint gr-qc/9310015, 1993 - arxiv.org
K Maeda, T Tachizawa, T Torii, T Maki
arXiv preprint gr-qc/9310015, 1993arxiv.org
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.
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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