Non-Abelian Black Holes and Catastrophe Theory I : Neutral Type

Details Non-Abelian Black Holes and Catastrophe Theory I : Neutral Type Non-Abelian Black Holes and Catastrophe Theory I : Neutral Type

1994-06-08

arxiv.org/abs/gr-qc/9406013v1

Phys.Rev. D51 (1995) 1510-1524

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27pages, LaTex style, WU-AP/39/94. Figures are available (hard copies) upon requests [64L514@cfi.waseda.ac.jp (T.Torii)]

Scientific paper

10.1103/PhysRevD.51.1510

We re-analyze the globally neutral non-Abelian black holes and present a unified picture, classifying them into two types; Type I (black holes with massless non-Abelian field) and Type II (black holes with ``massive" non-Abelian field). For the Type II, there are two branches: The black hole in the high-entropy branch is ``stable" and almost neutral, while that in the low entropy branch, which is similar to the Type I, is unstable and locally charged. To analyze their stabilities, we adopt the catastrophe theoretic method, which reveals us a universal picture of stability of the black holes. It is shown that the isolated Type II black hole has a fold catastrophe structure. In a heat bath system, the Type I black hole shows a cusp catastrophe, while the Type II has both fold and cusp catastrophe.

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