Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime

TL;DR

This paper calculates how a conducting cylindrical shell influences electromagnetic vacuum fluctuations in a cosmic string spacetime, revealing boundary effects on vacuum energy and stresses.

Contribution

It provides explicit formulas for electromagnetic vacuum expectation values in the presence of a cylindrical boundary in cosmic string spacetime, including boundary-free and boundary-induced parts.

Findings

Boundary-induced vacuum densities are explicitly computed.

Asymptotic behaviors are analyzed in various limits.

Results highlight the impact of the cylindrical shell on vacuum energy.

Abstract

We investigate the renormalized vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field inside and outside of a conducting cylindrical shell in the cosmic string spacetime. By using the generalized Abel-Plana formula, the vacuum expectation values are presented in the form of the sum of boundary-free and boundary-induced parts. The asymptotic behavior of the vacuum expectation values of the field square, energy density and stresses are investigated in various limiting cases.