Magnetic monopole in induced Einstein-Yang-Mills models

Mathematics – Logic

Scientific paper

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Classical Black Holes, Spontaneous Breaking Of Gauge Symmetries, Magnetic Monopoles

Scientific paper

We show that a regular SO(3) non-Abelian monopole cannot exist in induced gravity models with a variety of symmetry breaking potentials. The no-hair theorem is also shown to be true in these models. We also analyze the global behavior of the gauge field in the presence of a black hole with a nonvanishing cosmological constant. It is shown that the nontrivial non-Abelian monopole solution exists only if the radius of the event horizon is smaller than the characteristic radius of the classical monopole.

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