TL;DR
This paper investigates the quantum fluctuations in smooth-throat wormholes using heat kernel techniques, proposing conditions under which such wormholes could exist as solutions to semiclassical Einstein equations.
Contribution
It introduces a method to analyze quantum effects in wormholes with arbitrary profiles using zeta-function regularization, and identifies parameter ranges for their potential existence.
Findings
Wormholes can exist as semiclassical solutions under specific length and radius conditions.
Heat kernel coefficients are computed for arbitrary-profile wormholes.
The study suggests quantum effects may stabilize certain wormhole configurations.
Abstract
Smooth-throat wormholes are treated on as possessing quantum fluctuation energy with scalar massive field as its source. Heat kernel coefficients of the Laplace operator are calculated in background of the arbitrary-profile throat wormhole with the help of the zeta-function approach. Two specific profile are considered. Some arguments are given that the wormholes may exist. It serves as a solution of semiclassical Einstein equations in the range of specific values of length and certain radius of wormhole's throat and constant of non-minimal connection.
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