Casimir effect in a wormhole spacetime

TL;DR

This paper investigates how the Casimir effect behaves in a wormhole spacetime with a spherical shell, revealing that the force can be attractive, repulsive, or zero depending on parameters like coupling, mass, and radius.

Contribution

It provides the first detailed analysis of the Casimir effect for a massive scalar field with non-conformal coupling in a wormhole geometry using zeta-regularization.

Findings

Casimir force varies with coupling, mass, and radius

Force can be attractive, repulsive, or zero

Zero point energy calculated for the scalar field

Abstract

We consider the Casimir effect for quantized massive scalar field with non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded by a spherical shell. In the framework of zeta-regularization approach we calculate a zero point energy of scalar field. We found that depending on values of coupling $\xi$, a mass of field $m$, and/or the throat's radius $a$ the Casimir force may be both attractive and repulsive, and even equals to zero.