Polarization of the fermionic vacuum by a global monopole with finite core

Abstract

We study the vacuum polarization effects associated with a massive fermionic field in a spacetime produced by a global monopole considering a nontrivial inner structure for it. In the general case of the spherically symmetric static core with finite support we evaluate the vacuum expectation values of the energy-momentum tensor and the fermionic condensate in the region outside the core. These quantities are presented as the sum of point-like global monopole and core-induced contributions. The asymptotic behavior of the core-induced vacuum densities are investigated at large distances from the core, near the core and for small values of the solid angle corresponding to strong gravitational 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.

22 pages, 4 figures

References in corpus (5)

• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime
• Spinor Casimir effect for concentric spherical shells in the global monopole spacetime
• Vacuum polarization by a composite topological defect
• Vacuum polarization by a global monopole with finite core

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• Induced self-energy on a static scalar charged particle in the spacetime of a global monopole with finite core
• Fermionic vacuum polarization in higher-dimensional global monopole spacetime
• The Casimir densities for a sphere in the Milne universe
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Vacuum densities for a thick brane in AdS spacetime