TL;DR
This paper calculates vacuum polarization effects of a scalar field on a wormhole's long throat and finds self-consistent solutions to the semiclassical Einstein equations, highlighting the role of local geometry.
Contribution
It introduces a method to compute vacuum polarization in wormhole spacetimes and derives self-consistent semiclassical solutions for the long throat geometry.
Findings
Vacuum polarization depends only on local geometry.
Self-consistent solutions for the wormhole's long throat are obtained.
The stress-energy tensor is determined by local spacetime properties.
Abstract
The vacuum polarization of the quantized scalar field with non-conformal coupling on the long throat of a wormhole background is calculated. It is shown that the stress-energy tensor of vacuum fluctuations in considered spacetime is determined by the local geometry of spacetime only. The self-consistent solutions of the semiclassical Einstein field equations describing a long throat of a traversable wormhole are obtained.
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