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We perform a numerical analysis of the gravitational field of a global monopole coupled nonminimally to gravity and find that, for some given nonminimal couplings (in contrast with the minimal coupling case), there is an attractive region where bound orbits exist. We exhibit the behavior of the frequency shifts that would be associated with "rotation curves" of stars in circular orbits in the spacetimes of such global monopoles.
Nucamendi et al. (Mon,) studied this question.