Vacuum polarization of a massive scalar field in a wormhole spacetime

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.

arXiv comment7 pages, 5 figures

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Cited by in corpus (2)

• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Stress-energy of the quantized fields in the spacetime of the Damour-Solodukhin wormhole