1994/10/17 by T. Tachizawa, Takashi Tachizawa, K. Maeda +3
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Higgs boson #Magnetic monopole #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.51.4054
published as Phys.Rev. D51 (1995) 4054-4066 · 23 pages, LaTeX (Figures are available on request as hard copies.) WU-AP/40/93
arxiv created 1994/10/17 · openalex publication_date 1995/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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-Nordstr"om 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.