corner
corner

Phys. Rev. D 51, 4054–4066 (1995)

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

Download: PDF (741 kB) Buy this article Export: BibTeX or EndNote (RIS)

T. Tachizawa, K. Maeda, and T. Torii
Department of Physics, Waseda University, Tokyo 169, Japan

Received 12 October 1994; published in the issue dated 15 April 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.51.4054
DOI:
10.1103/PhysRevD.51.4054
PACS:
04.70.Bw, 11.15.-q, 95.30.Tg, 14.80.Hv