Non-Abelian black holes and catastrophe theory. II. Charged type

T. Tachizawa, K. Maeda, and T. Torii
Phys. Rev. D 51, 4054 – Published 15 April 1995
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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 nontrivial 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 nontrivial 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.

  • Received 12 October 1994

DOI:https://doi.org/10.1103/PhysRevD.51.4054

©1995 American Physical Society

Authors & Affiliations

T. Tachizawa, K. Maeda, and T. Torii

  • Department of Physics, Waseda University, Tokyo 169, Japan

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Vol. 51, Iss. 8 — 15 April 1995

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