Casimir Densities for a Massive Fermionic Quantum Field in a Global Monopole Background with Spherical Boundary

Abstract

We investigate the vacuum expectation value of the energy-momentum tensor associated with a massive fermionic field obeying the MIT bag boundary condition on a spherical shell in the global monopole spacetime. The asymptotic behavior of the vacuum densities is investigated near the sphere center and surface, and at large distances from the sphere. In the limit of strong gravitational field corresponding to small values of the parameter describing the solid angle deficit in global monopole geometry, the sphere-induced expectation values are exponentially suppressed.

8 pages, 4 figures, 6th Alexander Friedmann International Seminar on Gravitation and Cosmology

References in corpus (1)

• Casimir densities for a spherical shell in the global monopole background

Cited by in corpus (8)

• Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Polarization of the fermionic vacuum by a global monopole with finite core
• Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach
• Vacuum polarization by a composite topological defect
• Dirichlet Casimir Energy for a Scalar Field in a Sphere: An Alternative Method
• Summation formula over the zeros of the associated Legendre function with a physical application
• The Casimir effect for a massless spin-3/2 field in Minkowski spacetime