# Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime

## TL;DR

This paper analyzes the quantum vacuum fluctuations of scalar fields in a high-dimensional cosmic dispiration spacetime, deriving the energy-momentum tensor and comparing results with previous studies in (3+1) dimensions.

## Contribution

It provides a complete calculation of the Wightman function and energy-momentum tensor in a high-dimensional cosmic dispiration spacetime, including new closed-form expressions.

## Key findings

- Derived explicit expressions for the energy-momentum tensor.
- Compared high-dimensional results with existing (3+1)-dimensional cases.
- Extended analysis to both massive and massless scalar fields.

## 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.