Mathematics – Logic
Scientific paper
Feb 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..61d4004k&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 61, Issue 4, 15 February 2000, id.044004
Mathematics
Logic
3
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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