Magnetic Monopoles Near the Black Hole Threshold

Details Magnetic Monopoles Near the Black Hole Threshold Magnetic Monopoles Near the Black Hole Threshold

1999-05-31

arxiv.org/abs/hep-th/9905223v2

Phys.Rev. D60 (1999) 084025

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 11 figures RevTeX, minor corrections, references added, appendix added

Scientific paper

10.1103/PhysRevD.60.084025

We present new analytic and numerical results for self-gravitating SU(2)-Higgs magnetic monopoles approaching the black hole threshold. Our investigation extends to large Higgs self-coupling, lambda, a regime heretofore unexplored. When lambda is small, the critical solution where a horizon first appears is extremal Reissner-Nordstrom outside the horizon but has a nonsingular interior. When lambda is large, the critical solution is an extremal black hole with non-Abelian hair and a mass less than the extremal Reissner-Nordstrom value. The transition between these two regimes is reminiscent of a first-order phase transition. We analyze in detail the approach to these critical solutions as the Higgs expectation value is varied, and compare this analysis with the numerical results.

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