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arXiv · 1003.0344

Vacuum polarization of a massive scalar field in a wormhole spacetime

V. B. Bezerra·E. R. Bezerra de Mello·N. R. Khusnutdinov·S. V. Sushkov
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Abstract

We calculate the vacuum average value of the field square and the stress-energy tensor of a massive scalar field, with non-minimal coupling $\xi$ to the curvature in the short-throat flat-space wormhole background. The obtained results are not suitable for an analytical analysis and for this reason we provide a numerical analysis for different values of the coupling constant, $\xi$. It was shown that the vacuum polarization cannot self-consistently support the wormhole. Otherwise, the energy-momentum tensor does not violate the null energy condition near the throat.

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V. B. Bezerra, E. R. Bezerra de Mello, N. R. Khusnutdinov, S. V. Sushkov. 2010-03-01. Vacuum polarization of a massive scalar field in a wormhole spacetime. https://doi.org/10.1103/physrevd.81.084034

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