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Non-Abelian Black Holes and Catastrophe Theory II: Charged Type

T. Tachizawa·K. Maeda·T. Torii
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Abstract

We reanalyze the gravitating monopole and its black hole solutions in the Einstein-Yang-Mills-Higgs system and we discuss their stabilities from the point of view of catastrophe theory. Although these non-trivial solutions exhibit fine and complicated structures, we find that stability is systematically understood via a swallow tail catastrophe. The Reissner-Nordström trivial solution becomes unstable from the point where the non-trivial monopole black hole appears. We also find that, within a very small parameter range, the specific heat of a monopole black hole changes its sign .

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T. Tachizawa, K. Maeda, T. Torii. 1994-10-17. Non-Abelian Black Holes and Catastrophe Theory II: Charged Type. https://doi.org/10.1103/physrevd.51.4054

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