NonAbelian black holes and catastrophe theory. 2. Charged type
Sep, 199424 pages
Published in:
- Phys.Rev.D 51 (1995) 4054-4066
e-Print:
- gr-qc/9410016 [gr-qc]
Report number:
- WU-AP-40-93
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Abstract: (desy)
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-Nordstr\"{o}m 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 .- black hole: nonabelian
- field equations: monopole
- Einstein equation
- gauge field theory: Yang-Mills
- Higgs model
- stability
- field equations: solution
- catastrophe theory
- numerical calculations
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