Vacuum polarization by a global monopole with finite core

Abstract

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.

22 pages, 4 figures, misprint is corrected, discussion is added, figures are changed

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Cited by in corpus (9)

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• Polarization of the fermionic vacuum by a global monopole with finite core
• Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
• Casimir densities from coexisting vacua
• Casimir interaction of finite-width strings
• Fermionic vacuum polarization in higher-dimensional global monopole spacetime
• The Casimir densities for a sphere in the Milne universe
• Casimir effect in hemisphere capped tubes
• Vacuum polarization by a scalar field in de Sitter spacetime in the presence of global monopole