Abstract
We study numerical solutions corresponding to spherically symmetric gravitating electroweak monopole and magnetically charged black holes of the Einstein–Weinberg–Salam theory. The gravitating electroweak monopole solutions are quite identical to the gravitating monopole solution in SU(2) Einstein–Yang–Mills–Higgs theory, but with distinctive characteristics. We also found solutions representing radially excited monopole, which has no counterpart in flat space. Both of these solutions exist up to a maximal gravitational coupling before they cease to exist. Lastly we also report on magnetically charged non-Abelian black holes solutions that is closely related to the regular monopole solutions, which represents counterexample to the ‘no-hair’ conjecture.
Highlights
Since the introduction of Dirac monopole by Dirac [1,2], magnetic monopole has become a subject that attracts a lot of interest, both theoretically and experimentally
The mass of ’t Hooft–Polyakov monopole was estimated to be of order 137 Mw, where Mw is the mass of intermediate vector boson
The mass of gravitating monopole solution decreases with increasing gravitational coupling and the solution ceases to exist beyond a maximal value of gravitational coupling
Summary
Since the introduction of Dirac monopole by Dirac [1,2], magnetic monopole has become a subject that attracts a lot of interest, both theoretically and experimentally. [17], the discovery of electroweak monopole should be interpreted as an important topological test of the standard model This makes the experimental detection of electroweak. Gravitationally coupled electroweak mono-pole solutions in Einstein–Weinberg–Salam (EWS) theory has been reported by Cho et al [25]. Their results confirm the existence of globally regular gravitating electroweak monopole solution, before changes to the magnetically charged black hole as the Higgs vacuum value approaches to the Planck scale. The results is a magnetically charged black hole with mass below 9.3 × 1035 GeV that possesses a ‘hairy’ cloud of electroweak gauge and Higgs fields outside the event horizon with 1/Mw in size.
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