Vacuum polarization of a scalar field in wormhole spacetimes

Abstract

An analitical approximation of $<{\varphi }^2>$ for a scalar field in a static spherically symmetric wormhole spacetime is obtained. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature, and in a zero temperature vacuum state.

10 pages, RevTeX, two eps figures

References in corpus (6)

• Scalar fields, energy conditions, and traversable wormholes
• Traversable wormholes from massless conformally coupled scalar fields
• Brans wormholes
• Can primordial wormholes be induced by GUTs at the early Universe?
• A traversable wormhole
• Analitical approximation of $<{\varphi }^2>$ for a massive scalar field in static spherically symmetric spacetimes

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