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We investigate the vacuum expectation values of the energy-momentum tensorand the fermionic condensate associated with a massive spinor field obeying theMIT bag boundary condition on a spherical shell in the global monopolespacetime. In order to do that it was used the generalized Abel-Plana summationformula. As we shall see, this procedure allows to extract from the vacuumexpectation values the contribution coming from to the unbounded spacetime andexplicitly to present the boundary induced parts. As to the boundary inducedcontribution, two distinct situations are examined: the vacuum average effectinside and outside the spherical shell. The asymptotic behavior of the vacuumdensities is investigated near the sphere center and surface, and at largedistances from the sphere. In the limit of strong gravitational fieldcorresponding to small values of the parameter describing the solid angledeficit in global monopole geometry, the sphere-induced expectation values areexponentially suppressed. As a special case we discuss the fermionic vacuumdensities for the spherical shell on background of the Minkowski spacetime.Previous approaches to this problem within the framework of the QCD bag modelshave been global and our calculation is a local extension of thesecontributions.Comment: 20 pages, 4 figure

Spinor Casimir densities for a spherical shell in the global monopole spacetime