Ky. Lee et Ej. Weinberg, NONTOPOLOGICAL MAGNETIC MONOPOLES AND NEW MAGNETICALLY CHARGED BLACK-HOLES, Physical review letters, 73(9), 1994, pp. 1203-1206
The existence of nonsingular classical magnetic monopole solutions is
usually understood in terms of topologically nontrivial Higgs field co
nfigurations. We show that finite energy magnetic monopole solutions a
lso exist within a class of purely Abelian gauge theories containing c
harged vector mesons, even though the possibility of nontrivial topolo
gy does not even arise provided that certain relationships among the p
arameters of the theory are satisfied. These solutions are singular if
these relationships do not hold, but even then become meaningful once
the theory is coupled to gravity, for they then give rise to an inter
esting new class of magnetically charged black holes with hair.