  We investigate the effects of a $(D+1)$-dimensional global monopole core on
the behavior of a quantum massive scalar field with general curvature coupling
parameter. In the general case of the spherically symmetric static core,
formulae are derived for the Wightman function, for the vacuum expectation
values of the field square and the energy-momentum tensor in the exterior
region. These expectation values are presented as the sum of point-like global
monopole part and the core induced one. The asymptotic behavior of the core
induced vacuum densities is investigated at large distances from the core, near
the core and for small values of the solid angle corresponding to strong
gravitational fields. In particular, in the latter case we show that the
behavior of the vacuum densities is drastically different for minimally and
non-minimally coupled fields. As an application of general results the
flower-pot model for the monopole's core is considered and the expectation
values inside the core are evaluated.

High Energy Physics - Theory;General Relativity and Quantum Cosmology;Quantum Physics