Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime

Abstract

In this paper we present a complete and detailed analysis of the calculation of both the Wightman function and the vacuum expectation value of the energy-momentum tensor that arise from quantum vacuum fluctuations of massive and massless scalar fields in the cosmic dispiration spacetime, which is formed by the combination of two topological defects: a cosmic string and a screw dislocation. This spacetime is obtained in the framework of the Einstein-Cartan theory of gravity and is considered to be a chiral space-like cosmic string. For completeness we perform the calculation in a high-dimensional spacetime, with flat extra dimensions. We found closed expressions for the the energy-momentum tensor and, in particular, in (3+1)-dimensions, we compare our results with existing previous ones in the literature for the massless scalar field case.

26 pages, 5 figures

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• Geometric theory of topological defects: methodological developments and new trends
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• Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime
• Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
• Thermal Casimir effect in the Einstein Universe with a spherical boundary
• Electromagnetic vacuum densities induced by a cosmic string
• Scalar self-interaction in the spacetime of a cosmic dispiration
• Finite temperature Casimir effect for a spinor field in cosmic dispiration spacetime
• Casimir effect and Stefan-Boltzmann law at finite temperature in a Friedmann-Robertson-Walker universe