Casimir effect in a wormhole spacetime

Artem R. Khabibullin, Nail R. Khusnutdinov, Sergey V. Sushkov

Published 2005-10-27, updated 2005-11-04Version 2

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.