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The Casimir effect in a wormhole spacetime. (English) Zbl 1087.83035

Summary: We consider the Casimir effect for a quantized massive scalar field with non-conformal coupling \(\xi\) in a wormhole spacetime whose throat is surrounded by a spherical shell. In the framework of the zeta-regularization approach we calculate the zero-point energy of the scalar field. We find that depending on values of the 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 zero.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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