The well known monopole solution of Barriola and Vilenkin (BV) resulti
ng from the breaking of a global SO(3) symmetry is extended in general
relativity along with a zero-mass scalar field and also in the Brans-
Dicke (BD) theory of gravity. In the case of BD theory, the behaviour
of spacetime and other variables such as the BD scalar field and the m
onopole energy density have been studied numerically. For a monopole a
long with a zero-mass scalar field, exact solutions are obtained and,
depending upon the choice of arbitrary parameters, the solutions eithe
r reduce to the BV case or to a pure scalar field solution as special
cases. It is interesting to note that unlike the BV case the global mo
nopole in the BD theory does exert a gravitational pull on a test part
icle moving in its spacetime.